On optimality conditions and duality for multiobjective optimization with equilibrium constraints

In this paper, we consider nonsmooth multiobjective optimization problems with equilibrium constraints. Necessary/sufficient conditions for optimality in terms of the Michel-Penot subdifferential are established. Then, we propose Wolfe- and Mond–Weir-types of dual problems and investigate duality re...

Full description

Saved in:
Bibliographic Details
Published in:Positivity : an international journal devoted to the theory and applications of positivity in analysis 2023-09, Vol.27 (4), p.50, Article 50
Main Authors: Khanh, P. Q., Tung, L. T.
Format: Article
Language:English
Subjects:
Calculus of Variations and Optimal Control
Optimization
Convexity
Econometrics
Equilibrium
Fourier Analysis
Mathematical programming
Mathematics
Mathematics and Statistics
Multiple objective analysis
Operator Theory
Optimization
Potential Theory
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, we consider nonsmooth multiobjective optimization problems with equilibrium constraints. Necessary/sufficient conditions for optimality in terms of the Michel-Penot subdifferential are established. Then, we propose Wolfe- and Mond–Weir-types of dual problems and investigate duality relations under generalized convexity assumptions. Some examples are provided to illustrate our results.
ISSN:1385-1292
1572-9281
DOI:10.1007/s11117-023-00998-2