Open AccessKarush-Kuhn-Tucker optimality conditions and duality for multiobjective semi-infinite programming with equilibrium constraints
Author(s) -
Thanh Le Tung
Publication year - 2021
Publication title -
yugoslav journal of operations research
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.221
H-Index - 21
eISSN - 1820-743X
pISSN - 0354-0243
DOI - 10.2298/yjor200117024l
Subject(s) - duality (order theory) , karush–kuhn–tucker conditions , convexity , multiobjective programming , mathematical optimization , mathematics , mathematical economics , dual (grammatical number) , multi objective optimization , economics , combinatorics , art , literature , financial economics
The purpose of this paper is to study multiobjective semi-infinite programming with equilibrium constraints. Firstly, the necessary and sufficient Karush-Kuhn-Tucker optimality conditions for multiobjective semi-infinite programming with equilibrium constraints are established. Then, we formulate types of Wolfe and Mond-Weir dual problems and investigate duality relations under convexity assumptions. Some examples are given to verify our results.