A Novel Method for Finding Minimum-norm Solutions to Pseudomonotone Variational Inequalities

Duong Viet Thong (), Pham Ky Anh (), Vu Tien Dung () and Do Thi My Linh ()
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Duong Viet Thong: Thu Dau Mot University
Pham Ky Anh: Vietnam National University
Vu Tien Dung: Vietnam National University
Do Thi My Linh: Hanoi University of Industry

Networks and Spatial Economics, 2023, vol. 23, issue 1, No 2, 39-64

Abstract: Abstract In this paper, we introduce a novel iterative method for finding the minimum-norm solution to a pseudomonotone variational inequality problem in Hilbert spaces. We establish strong convergence of the proposed method and its linear convergence under some suitable assumptions. Some numerical experiments are given to illustrate the performance of our method. Our result improves and extends some existing results in the literature.

Keywords: Subgradient extragradient method; Variational inequality problem; Pseudomonotone operator; Strong convergence; Convergence rate; 47H09; 47J20; 65K15; 90C25 (search for similar items in EconPapers)
Date: 2023
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Citations: View citations in EconPapers (1)

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DOI: 10.1007/s11067-022-09569-6

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