On Some Constrained Optimization Problems

Savin Treanţă, Shalini Jha, Muhammad Bilal Khan and Tareq Saeed
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Savin Treanţă: Department of Applied Mathematics, University Politehnica of Bucharest, 060042 Bucharest, Romania
Shalini Jha: School of Advanced Sciences, VIT-AP University, Vijayawada 522237, Andhra Pradesh, India
Muhammad Bilal Khan: Department of Mathematics, COMSATS University Islamabad, Islamabad 44000, Pakistan
Tareq Saeed: Nonlinear Analysis and Applied Mathematics—Research Group, Department of Mathematics, Faculty of Sciences, King Abdulaziz University, Jeddah 21589, Saudi Arabia

Mathematics, 2022, vol. 10, issue 5, 1-10

Abstract: By using appropriate methods of variational analysis, the necessary conditions of optimality are established for new classes of constrained optimization problems involving multiple and curvilinear integral functionals. Additionally, two illustrative examples are provided to support the main results formulated in this paper.

Keywords: multi-time Lagrangian; multiple integral; Euler–Lagrange equations; curvilinear integral (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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