Optimality and duality for nonsmooth semi-infinite E-convex multi-objective programming with support functions

被引：0
|
作者：
Emam T. [1 ,2 ]
机构：
[1] Department of Mathematics, Faculty of Science, Jouf University, P.O. Box 2014, Sakaka
[2] Department of Mathematics, Faculty of Science, Suez University, P.O. Box 43533, Suez
来源：
International Journal for Simulation and Multidisciplinary Design Optimization | 2020年 / 11卷
关键词：
Duality; Generalized e-convexity; Nonsmooth semi-infinite multi-objective optimization;
D O I：
10.1051/smdo/2020011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study a nonsmooth semi-infinite multi-objective E-convex programming problem involving support functions. We derive sufficient optimality conditions for the primal problem. We formulate Mond-Weir type dual for the primal problem and establish weak and strong duality theorems under various generalized E-convexity assumptions. © 2020 T. Emam, published by EDP Sciences.
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