Title of article :
Optimality Conditions and Duality for Multiobjective Semi-infinite Programming on Hadamard Manifolds
Author/Authors :
Tung ، Le Thanh Department of Mathematics - College of Natural Sciences - Can Tho University , Tam ، Dang Hoang Department of Mathematics - College of Natural Sciences - Can Tho University
Abstract :
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.
Keywords :
Multiobjective semi , infinite programming , Karush–Kuhn–Tucker optimality conditions , Mond–Weir duality , Wolfe duality , Hadamard manifolds , Geodesic convexity
Journal title :
Bulletin of the Iranian Mathematical Society
Journal title :
Bulletin of the Iranian Mathematical Society
