| Issue |
Int. J. Simul. Multidisci. Des. Optim.
Volume 11, 2020
|
|
|---|---|---|
| Article Number | 17 | |
| Number of page(s) | 7 | |
| DOI | https://doi.org/10.1051/smdo/2020011 | |
| Published online | 2020年8月10日 | |
Research Article
Optimality and duality for nonsmooth semi-infinite E-convex multi-objective programming with support functions
1
Department of Mathematics, Faculty of Science, Jouf University, P.O. Box 2014, Sakaka, Saudi Arabia
2
Department of Mathematics, Faculty of Science, Suez University, P.O. Box 43533, Suez, Egypt
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Received:
17
September
2019
Accepted:
29
June
2020
Abstract
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.
Key words: Nonsmooth semi-infinite multi-objective optimization / generalized e-convexity / duality
© T. Emam, published by EDP Sciences, 2020
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