Journal of Optimization Theory and Applications

1997 - 2026

Current editor(s): Franco Giannessi and David G. Hull

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Volume 209, issue 1, 2026

Toward Tractable Conditions for Lower Semicontinuity of Set-Valued Maps: Concepts and Applications pp. 1-20

Didier Aussel, Orestes Bueno, Carlos Calderón and John Cotrina

Convergence Properties of Gradient-Based Methods for Minimax Problems with Nonlinear Constraints pp. 1-28

Qingying Hu, Bo Wang and Mengwei Xu

Exploring New Frontiers in Vertical Federated Learning: the Role of Saddle Point Reformulation pp. 1-38

Aleksandr Beznosikov, Georgiy Kormakov, Alexander Grigorievskiy, Mikhail Rudakov, Ruslan Nazykov, Alexander Rogozin, Anton Vakhrushev, Andrey Savchenko, Martin Takáč and Alexander Gasnikov

Characterization of Approximate Efficient Solutions of Nonconvex Vector Optimization Problems pp. 1-23

Wen-Bin Wei, Jian-Wen Peng, Elisabeth Köbis and Jen-Chih Yao

Reconstruction of Structural Topology Optimization Mapping: A Novel Two-Stage Mapping Modeling and Solution Approach pp. 1-25

Xi-Rong Peng and Yun-Kang Sui

Variable Smoothing Alternating Proximal Gradient Algorithm for Coupled Composite Optimization pp. 1-25

Xian-Jun Long, Kang Zeng, Gao-Xi Li, Minh N. Dao and Zai-Yun Peng

Geometric-Entropic Optimization: Integrating Optimal Transport with Riemannian Gradient Methods for Neural Network Training pp. 1-12

Massimiliano Ferrara

Complexity Results and Active-Set Identification of a Derivative-Free Method for Bound-Constrained Problems pp. 1-31

Andrea Brilli, Andrea Cristofari, Giampaolo Liuzzi and Stefano Lucidi

A Novel Proximal-Based Algorithm for Mixed Set-Valued Quasi-Variational Inequalities pp. 1-31

Xuan Thanh Le and Tran Van Thang

A New Constant-Rank-Type Condition Related to MFCQ and Local Error Bounds pp. 1-26

Roberto Andreani, Mariana da Rosa and Leonardo D. Secchin

Self-dual Approximations to Convex Bolza Problems pp. 1-26

Cristopher Hermosilla, Ernesto Treumún and Peter Wolenski

Existence of Pullback Attractors for a Class of Differential Quasi-Variational-Hemivariational Inequalities pp. 1-47

Shengda Zeng, Jinsheng Du and Stanisław Migórski

Spatial Algorithm for Mixed Integer Generalized Affine Multiplicative Problems pp. 1-36

Hongwei Jiao and Haibing Ma

Augmented Lagrangian Neural Network for Solving Mathematical Programs with Equilibrium Constraints pp. 1-36

Anjali Rawat and Vinay Singh

A Note on the Second-Order Convergence of Proximal ADMM for Non-Convex Optimization pp. 1-17

Jingyu Gao and Xiurui Geng

Smoothing Proximal Gradient Block-coordinate Algorithms for Group Sparse $$\ell _0$$ ℓ 0 Regularized Nonsmooth Convex Regression Problem pp. 1-39

Xue Li and Wei Bian

Local Near-Quadratic Convergence of Riemannian Interior Point Methods pp. 1-34

Mitsuaki Obara, Takayuki Okuno and Akiko Takeda

Golden Ratio Algorithm with Inertia for Non-Lipschitz Variational Inequalities pp. 1-34

Vahid Darvish, Godwin Chidi Ugwunnadi, Aniefiok Udomene and Habib ur Rehman

A Generalized Canonical Metric for Optimization on the Indefinite Stiefel Manifold pp. 1-24

Dinh Van Tiep, Duong Thi Viet An, Nguyen Thi Ngoc Oanh and Nguyen Thanh Son

A Projected Inexact Levenberg-Marquardt Method for the Completely Positive Matrix Factorization pp. 1-37

Roger Behling, Douglas Gonçalves, Hugo Lara and Harry Oviedo

Proper Subdifferential of Set-Valued Maps and its Applications in Linear Spaces pp. 1-27

Zhiang Zhou, Zhongcheng Deng, Caiping Liu and Kequan Zhao

Mean-Field Team with Nested Model Uncertainty: A Stackelberg-Type Robust Analysis pp. 1-27

Xinwei Feng, Jianhui Huang and Yunxiao Jia

The Stochastic Ravine Accelerated Gradient Method with General Extrapolation Coefficients pp. 1-51

Hedy Attouch, Jalal Fadili and Vyacheslav Kungurtsev

Volume 208, issue 3, 2026

On a Robust Approach to “split” Feasibility Problems: Solvability and Global Error Bound Conditions pp. 1-37

Amos Uderzo

Preface for the Special Issue New Trends in Control Theory in Honor of Professor Andrea Bacciotti pp. 1-3

Luciano Pandolfi, Laura Poggiolini, Franco Rampazzo and Lionel Rosier

Convex Cones, Assessment Functions, Balanced Attributes pp. 1-24

Ignacy Kaliszewski

An Augmented Lagrangian Approach to Bi-Level Optimization via a Smooth Equilibrium Constrained Problem pp. 1-34

Nadav Hallak and Nitay Suissa

Federated Stochastic Control of Numerous Heterogeneous Energy Storage Systems pp. 1-34

Emmanuel Gobet and Maxime Grangereau

Proximal Oracles for Optimization and Sampling pp. 1-34

Jiaming Liang and Yongxin Chen

Tracking Error/Control Effort Trade-Off in the Presence of Disturbance pp. 1-36

Vladimir Turetsky

Perturbation Theory for Generalized T-Eigenvalues of Third-Order Tensors pp. 1-40

Changxin Mo, Zheyan Li, Yimin Wei and Pengpeng Xie

Optimal Control of Lame Parameters in Elastic Body with Thin Delaminated Inclusion pp. 1-13

Alexander Khludnev

Optimality Conditions and Subdifferential Calculus for Infinite Sums of Functions pp. 1-31

Abderrahim Hantoute, Alexander Y. Kruger and Marco A. López

The Sparseness of G-Convex Functions pp. 1-31

Yu Wang and Ke Ye

Time-Optimal Control of Hilfer Fractional Stochastic Hemivariational Inequalities Analysis pp. 1-31

Anbu Dhanush and Velusamy Vijayakumar

Necessary First and Second Order Optimality Conditions for a Fractional Order Differential Equation with State Delay pp. 1-21

Jasarat J. Gasimov and Nazim I. Mahmudov

Differentiability and Regularization of Parametric Convex Value Functions in Stochastic Multistage Optimization pp. 1-35

Adrien Le Franc, Pierre Carpentier, Jean-Philippe Chancelier and Michel De Lara

Revisit Iterative Complexity of Some Projection-type Methods for Monotone Linear Variational Inequality Problems pp. 1-25

Yongxin Chen, Xingju Cai and Deren Han

Optimal Strategies in Controlled Markov Chains Under a Stochastic Discount Factor with Applications to Investment Models pp. 1-25

A. Y. Golubin

Well-Posedness of Stationary 2D and 3D Convective Brinkman-Forchheimer Extended Darcy Hemivariational Inequalities pp. 1-42

Manil T. Mohan

Vertical Linear Complementarity Problem Via the New Modulus-Based Matrix Splitting Method pp. 1-23

Cui-Xia Li and Shi-Liang Wu

The Improvement Function Reformulation for Graphs of Minimal Point Mappings pp. 1-23

Stefan Schwarze and Oliver Stein

Optimality Conditions for Generalized Variable-Order Caputo Fractional Variational Problems pp. 1-38

Awais Younus and Atia Batool

Decision Space Decomposition for Multiobjective Optimization pp. 1-33

Emma Soriano, Mishko Mitkovski and Margaret M. Wiecek

Universal Subgradient and Proximal Bundle Methods for Convex and Strongly Convex Hybrid Composite Optimization pp. 1-33

Vincent Guigues, Jiaming Liang and Renato D. C. Monteiro

A remark on self-adjoint problems in the optimization of non-linear models pp. 1-33

Grégoire Allaire, Théodore Cherrière, Thomas Gauthey, Maya Hage Hassan and Xavier Mininger

Variance of the Distance to the Boundary of Convex Domains in $$\mathbb {R}^{2}$$ R 2 and $$\mathbb {R}^{3}$$ R 3 pp. 1-33

Alastair N. Fletcher and Alexander G. Fletcher

Optimal Control of Perturbed Sweeping Processes with Applications to General Robotics Models pp. 1-22

Giovanni Colombo, Boris S. Mordukhovich, Dao Nguyen, Trang Nguyen and Norma Ortiz-Robinson

UVIP: Model-Free Approach to Evaluate Reinforcement Learning Algorithms pp. 1-28

Denis Belomestny, Ilya Levin, Alexey Naumov and Sergey Samsonov

Convergence of Linearized Proximal Algorithms with Adaptive Stepsizes for Convex Composite Optimization pp. 1-28

Xin Yang, Weiping Shen, Xinyi Hu and Chong Li

On Projectional Subdifferentials and Projectional Coderivatives with Respect to Smooth Manifolds pp. 1-28

Phan Quoc Khanh and Tran Tuan Minh

Near-optimal Closed-loop Method via Lyapunov Damping pp. 1-30

Severin Maier, Camille Castera and Peter Ochs

A Projected Variable Smoothing for Weakly Convex Optimization and Supremum Functions pp. 1-30

Sergio López-Rivera, Pedro Pérez-Aros and Emilio Vilches

Semidefinite Network Games: Multiplayer Minimax and Complementarity Problems pp. 1-20

Constantin Ickstadt, Thorsten Theobald, Elias Tsigaridas and Antonios Varvitsiotis

An Equivalent Network Flow Model for the Nonuniform Capacity-Constrained Clustering Problem pp. 1-20

Lu Yang, Andong Qiu, Xinxiang Hou and Zhouwang Yang

Volume 208, issue 2, 2026

Wasserstein Distributionally Robust Optimization and Its Tractable Regularization Formulation pp. 1-28

Hong T. M. Chu, Meixia Lin and Kim-Chuan Toh

Linearized Alternating Direction Method of Multipliers with Adaptive Stepsize pp. 1-28

Do Sang Kim, Xinxin Li and Xiaoya Zhang

On the Regularization of the Supremum Function in the Bidual Space pp. 1-23

Rafael Correa, Abderrahim Hantoute and Marco A. López

A Stochastic Quasi-Newton Method in the Absence of Common Random Numbers pp. 1-32

Matt Menickelly, Stefan M. Wild and Miaolan Xie

How Stringent is the Linear Independence Kink Qualification in Abs-Smooth Optimization? pp. 1-20

Lukas Baumgärtner, Franz Bethke, Ganna Shyshkanova and Andrea Walther

A Matrix Generalization of the Hardy-Littlewood-Pólya Rearrangement Inequality and Its Applications pp. 1-18

Man-Chung Yue

On Nash Equilibria of Set Payoffs Games with Infinitely Many Players pp. 1-18

Yu Zhang and Xiangkai Sun

An underlying theory of multifunctions in discrete-time set-valued dynamical systems pp. 1-18

Elvira Hernández and Juan Perán

On Some Properties of Semi-infinite Tensor Complementarity Problem pp. 1-18

Rani Deb, Sonali Sharma and Arup Kumar Das

Optimization on the Quaternion Stiefel Manifold with Applications—Part II: L1-QPCA pp. 1-31

Ying Wang and Yuning Yang

Conversation on Optimal Control of Hilfer Fractional Systems with Deviated Arguments pp. 1-25

Jayaprakash Pradeesh, Sumati Kumari Panda, Velusamy Vijayakumar and Yong-Ki Ma

Approximating Split Delivery Path Routing Problems pp. 1-53

Jun Wu, Feng Chu, Zhen Yang and Yongxi Cheng

Pareto Optimality of Critical State Vectors in Vector Sets with State Attributes pp. 1-29

Yuanmei Xia, Hongsheng Liu and Kequan Zhao

The Projected Heavy-ball Method for Quasar-monotone Variational Inequalities and Quasar-convex Optimization pp. 1-29

Nhung Hong Nguyen, Thanh Quoc Trinh and Phan Tu Vuong

Characterizing the Existence of Solutions for Nonconvex Optimization Problems via Asymptotic Analysis pp. 1-17

Majid Fakhar and Hamid Reza Hajisharifi

Accelerated Methods with Compression for Horizontal and Vertical Federated Learning pp. 1-39

Sergey Stanko, Timur Karimullin, Aleksandr Beznosikov and Alexander Gasnikov

On Degenerate Preconditioned Proximal Point Methods under Restricted Monotonicity pp. 1-37

Feng Xue and Hui Zhang

Separating path systems in trees pp. 1-27

Francisco Arrepol, Patricio Asenjo, Raúl Astete, Victor Cartes, Anahí Gajardo, Valeria Henríquez, Catalina Opazo, Nicolás Sanhueza-Matamala and Christopher Thraves Caro

An Inexact Boosted Difference of Convex Algorithm for Nondifferentiable Functions pp. 1-27

Orizon P. Ferreira, Boris S. Mordukhovich, Wilkreffy M. S. Santos and João Carlos de O. Souza

Approximate Solutions for a Class of Multiobjective Interval-Valued Optimization Problems with Applications pp. 1-27

Chuang-liang Zhang, Yun-cheng Liu and Nan-jing Huang

A New Differential Variational-Hemivariational Inequality System and Its Applications pp. 1-27

Wei Li, Yu Wang, Zengbao Wu, Zhenghui Tang and Qixia Zhang

Hierarchical Variational Inequality Problem for Noncooperative Game-Theoretic Selection of Generalized Nash Equilibrium pp. 1-34

Shota Matsuo, Keita Kume and Isao Yamada

An NEPv Approach for Orthogonal CCA with Matrix (2, 1)-norm Regularization with Application to Feature Selection pp. 1-24

Li Wang, Lei-Hong Zhang and Ren-Cang Li

Trade-off Invariance Principle for Minimizers of Regularized Functionals pp. 1-24

Massimo Fornasier, Jona Klemenc and Alessandro Scagliotti

Volume 208, issue 1, 2026

Strong and Fast Convergences for Damping, Scaling and Tikhonov Regularization pp. 1-29

Hassan Riahi

Variational Methods for Equilibrium Problems Applied to Electricity Markets pp. 1-29

Maria Elena Giuli, Monica Milasi, Giorgia Oggioni and Domenico Scopelliti

Optimal structures of crop irrigation strategies with state constraints pp. 1-29

Ruben Chenevat, Bruno Cheviron, Sébastien Roux and Alain Rapaport

Generalized Equilibria with Multivalued Trifunctions and Applications to Uncertain Vector Equilibrium Problems pp. 1-29

Pham Huu Sach and Le Anh Tuan

On Differential Stability of a Class of Convex Optimization Problems pp. 1-17

Nguyen Dong Yen, Duong Thi Viet An, Vu Thi Huong and Nguyen Ngoc Luan

Pareto Well-Posedness for Set-Valued Optimization Problems in Geoffroy Spaces pp. 1-52

James Larrouy

A Unified Derivative-Free Projection Framework for Convex-Constrained Nonlinear Equations pp. 1-26

Abdulkarim Hassan Ibrahim, Mohammed Alshahrani and Suliman Al-Homidan

On the Existence and the Stability of Solutions in Nonconvex Vector Optimization $$^\dagger $$ † pp. 1-26

Tran Van Nghi, Le Ngoc Kien and Nguyen Van Tuyen

Normal Cones in Groups and Optimality Conditions pp. 1-36

Meenakshi, Anveksha Moar and C. S. Lalitha

Accelerated Adaptive Cubic Regularized Quasi-Newton Methods pp. 1-46

Dmitry Kamzolov, Klea Ziu, Artem Agafonov and Martin Takáč

Majorization-Minimization Bregman Proximal Gradient Algorithms for NMF with the Kullback–Leibler Divergence pp. 1-34

Shota Takahashi, Mirai Tanaka and Shiro Ikeda

On the Optimal Control Existence for Multi-Term Multi-Order Fractional Differential Equations with Impulsive Conditions pp. 1-24

HuiChol Choe, SuRim Han, SunAe Pak, GwangHyok Kim, GyongGuk Kim and DanOh U

Directionally Variational Analysis and Second-Order Optimality Conditions for Mathematical Programs with Switching Constraints pp. 1-45

Jiawei Chen, Luyu Liu, Yuhong Dai and Elisabeth Köbis

A New Infeasible Projection Method for Stochastic Variational Inequality Problem pp. 1-28

Shenghua Wang, Yueyao Zhang and Yeol Je Cho

The R-Linear Convergence of IPPDA for Symmetric Low Rank Orthogonal Tensor Approximation pp. 1-28

Shenglong Hu and Ying Zhou

New Constraint Qualifications Based on the Decomposition of the Cone Defined by the Karush-Kuhn-Tucker Conditions pp. 1-28

Alberto Ramos

Computing Proximity Operators of Scale and Signed Permutation Invariant Functions pp. 1-28

Jianqing Jia, Ashley Prater-Bennette and Lixin Shen

Differential Inclusions for Measures and Lyapunov Stability pp. 1-22

Ciro D’Apice, Rosanna Manzo and Benedetto Piccoli

Derivative-Free Optimization on Riemannian Manifolds Using Simplex Gradient Approximations pp. 1-22

Shahabeddin Najafi and Masoud Hajarian

Solvability and Optimal Feedback Control Results for Higher Order Fractional Differential Systems pp. 1-22

A. Dhanush and V. Vijayakumar

Robust n-Agent Heterogeneous Investment-Consumption Game Under $$\alpha $$ α -Maxmin Mean-Variance-Utility Criterion pp. 1-38

Guohui Guan and Zongxia Liang

Convergence of First-Order Algorithms with Momentum from the Perspective of an Inexact Gradient Descent Method pp. 1-38

Pham Duy Khanh, Boris S. Mordukhovich and Dat Ba Tran

Cyclic Stochastic Gradient Descent Method pp. 1-32

Zhijie Xie and Cong Sun

CQ-algorithms for the related problems of split equality problem in Hilbert spaces pp. 1-32

Yu Cao, Yishuo Peng, Yasong Chen and Luoyi Shi

Proximal Point Method with Bregman Regularization for Multiobjective Optimization Problems on Hadamard Manifolds pp. 1-32

Balendu Bhooshan Upadhyay, Jen-Chih Yao, Subham Poddar and Xiaopeng Zhao

Anderson Acceleration of Derivative-Free Projection Methods for Constrained Monotone Nonlinear Equations pp. 1-30

Jiachen Jin, Hongxia Wang and Kangkang Deng

Necessary Optimality Conditions for a Class of Bilevel Problems pp. 1-30

Abdallah Abdel Wahab and Piernicola Bettiol

Stationary and Nonstationary Equilibria of Duel and Truel with Random Shooting Order pp. 1-30

Athanasios Kehagias and Symeon Mastrakoulis

Equivalence of the Polyak-Łojasiewicz-Kurdyka Exponent Via Difference-of-Moreau-Envelope Smoothing pp. 1-30

Shuqin Sun

On growth error bound conditions with an application to heavy ball method pp. 1-30

Qinian Jin

A Three-Term Conjugate Gradient-Type Method with Sufficient Descent Property for Vector Optimization pp. 1-42

Yu Chen, Helong Chen and Zhibin Zhu

A Hybrid Deep Reinforcement Learning Method for Insurance Portfolio Management pp. 1-42

Xiang Cheng, Zhuo Jin, Hailiang Yang and George Yin

Estimating Mean and Variance of Random Coefficients in Stochastic Variational Problems Using Second-Order Methods pp. 1-48

Zi-Jia Gong, Akhtar A. Khan, Miguel Sama and Hans-Jörg Starkloff

Variational Analysis of Generalized Ordinal Nash Games on Banach Spaces pp. 1-25

Shivani Valecha and Asrifa Sultana

Distributed Nash Equilibrium Seeking in Disturbed Multi-agent Systems Under DoS Attacks pp. 1-25

Hebing Zhang, Qun Lu and Zhezhou Shen

Solution Stability and Well-Posedness for Classes of Parametric Set Optimization Problems pp. 1-25

Zai-Yun Peng, Yue Zeng, Thai Doan Chuong, Sangwoon Yun and Xin Yang

Fully Adaptive Zeroth-Order Method for Minimizing Functions with Compressible Gradients pp. 1-25

Geovani N. Grapiglia and Daniel McKenzie

A Dual Approach Based Extragradient-Type Method for Solving Quasi-Equilibrium Problems pp. 1-25

Xuan Thanh Le, Le Dung Muu and Nguyen Van Quy

Two-Variable Domination Structures and Applications in Vector Optimization pp. 1-35

Dang Thi Ngoan, César Gutiérrez and Duong Thi Viet An

Insensitizing the tangential gradient for reaction–diffusion equations with dynamic boundary conditions pp. 1-35

Roberto Morales, Maurício C. Santos and Nicolás Carreño

Authors Correction: A Maximum Principle for Optimal Control Problems Involving Sweeping Processes with a Nonsmooth Set pp. 1-4

M. d. R. de Pinho, M. Margarida A. Ferreira and Georgi Smirnov

Unique Solvability of Infinite Dimensional Differential Sweeping Systems pp. 1-37

Jinsheng Du, Stanisław Migórski, Emilio Vilches and Shengda Zeng

Optimization on the Quaternion Stiefel Manifold with Applications—Part I: Basic Geometry pp. 1-37

Ying Wang and Yuning Yang

Special Issue in memory of Boris Polyak pp. 1-2

Boris Mordukhovich, Arkadi Nemirovski and Yurii Nesterov

A Quasi-Optimization Problem for a Family of Functions pp. 1-19

Mario Diego Emanuele Giordano and Monica Milasi

A Positive Semidefinite Safe Approximation of Multivariate Distributionally Robust Constraints Determined by Simple Functions pp. 1-27

Jana Dienstbier, Frauke Liers and Jan Rolfes

Convergence of Solutions in Set Optimization Based on Null Set pp. 1-27

C. S. Lalitha and Anveksha Moar

Optimal Testing Strategies in Long-term Care Facilities during Pandemics pp. 1-33

Mansoor Davoodi, Ana Batista, Abhishek Senapati, Weronika Schlechte-Welnicz, Birgit Wagner and Justin M. Calabrese

Optimal Control Problems with Vector-Valued Impulse Controls and Time Delays pp. 1-33

Giovanni Fusco, Monica Motta and Richard Vinter

First and Second Order Optimality Conditions for Nonsmooth Multiobjective Problems with Equilibrium Constraints pp. 1-33

Prachi Sachan, Vivek Laha and Anshika

Halpern-type Bregman Projection Algorithms for Split Variational Inequality Problems pp. 1-33

Liya Liu, Tiexiang Li and Xiaolong Qin

Stochastic Dynamical Low-Rank Approximation in the Context of Machine Learning pp. 1-33

Arsen Hnatiuk, Jonas Kusch, Lisa Kusch, Nicolas R. Gauger and Andrea Walther

Stochastic Elastography Inverse Problem of Tumor Identification by an Equation Error Approach pp. 1-23

Zi-Jia Gong, Joachim Gwinner and Akhtar A. Khan

A Principle for Global Optimization with Gradients pp. 1-23

Nils Müller

A Unified Framework for Pattern Recovery in Penalized and Thresholded Estimation and its Geometry pp. 1-41

Piotr Graczyk, Ulrike Schneider, Tomasz Skalski and Patrick Tardivel

Nonsmooth Techniques for Computing Projected Solutions of Quasiequilibria via Gap Functions pp. 1-21

Giancarlo Bigi, Marco Castellani and Sara Latini

Dynamic Pricing in the Presence of Heterogeneous Social Influence pp. 1-31

Jue Wang, Tatsiana Levina, Yuri Levin and Mikhail Nediak

A Vectorized Positive Semidefinite Penalty Method for Unconstrained Binary Quadratic Programming pp. 1-31

Xinyue Huo and Ran Gu

Further on Potential Differential Games and Its Applications in Multi-leader Multi-follower Differential Games pp. 1-31

Asmamaw Msgan Ayele, Addis Belete Zewde and Semu Mitiku Kassa

Seierstad Sufficient Conditions for Stochastic Optimal Control Problems with Infinite Horizon pp. 1-10

Anton O. Belyakov, Yuri M. Kabanov, Ivan A. Terekhov and Maxim M. Savinov

Preconditioned Barzilai-Borwein Methods for Multiobjective Optimization Problems pp. 1-43

Jian Chen, Wang Chen, Liping Tang and Xinmin Yang

Enhancing Sharp Augmented Lagrangian Methods with Smoothing Techniques for Nonlinear Programming pp. 1-43

José Luis Romero, Damián Fernández and Germán Ariel Torres

Projection Algorithm with Extrapolations from the Past for Variational Inequalities pp. 1-43

Jian-Wen Peng, Abubakar Adamu, Yekini Shehu and Jen-Chih Yao