Volume 52, Number 4, October–December 2018
|Page(s)||1397 - 1410|
|Published online||06 December 2018|
ϵ-Efficient solutions in semi-infinite multiobjective optimization
Department of Applied Mathematics, Pukyong National University,
* Corresponding author: email@example.com
Accepted: 27 April 2018
In this paper we apply some tools of nonsmooth analysis and scalarization method due to Chankong–Haimes to find ϵ-efficient solutions of semi-infinite multiobjective optimization problems (MP). We establish ϵ-optimality conditions of Karush–Kuhn–Tucker (KKT) type under Farkas–Minkowski (FM) constraint qualification by using ϵ-subdifferential concept. In addition we propose mixed type dual problem (including dual problems of Wolfe and Mond–Weir types as special cases) for ϵ-efficient solutions and investigate relationship between mentioned (MP) and its dual problem as well as establish several ϵ-duality theorems.
Mathematics Subject Classification: 90C30 / 49N15 / 90C46 / 90C34
Key words: ϵ-Efficiency / semi-infinite optimization / ϵ-optimality conditions / ϵ-duality
© EDP Sciences, ROADEF, SMAI 2018
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