Optimality Conditions and Duality for Multiobjective Semi-infinite Programming on Hadamard Manifolds

Autor: Tung, Le Thanh, Tam, Dang Hoang
Zdroj: Bulletin of the Iranian Mathematical Society; 20240101, Issue: Preprints p1-29, 29p
Abstrakt: This article is devoted to studying the problem of multiobjective semi-infinite programming on Hadamard manifolds. We first establish both Karush–Kuhn–Tucker necessary and sufficient optimality conditions for some type of efficient solutions. Then, we propose Wolfe and Mond–Weir-type dual problems and examine duality relations under geodesic convexity assumptions.
Databáze: Supplemental Index