Abstract: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.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.