Isolated and Proper Efficiencies in Semi-Infinite Vector Optimization Problems

Thai Doan Chuong () and Jen-Chih Yao ()
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Thai Doan Chuong: Saigon University
Jen-Chih Yao: Kaohsiung Medical University

Journal of Optimization Theory and Applications, 2014, vol. 162, issue 2, No 7, 447-462

Abstract: Abstract This paper deals with a nonsmooth semi-infinite multiobjective/vector optimization problem (SIMOP, for short). We first establish necessary and sufficient conditions for (local) strongly isolated solutions and (local) positively properly efficient solutions of an SIMOP. Then, we propose a dual problem to the SIMOP under consideration and examine weak and strong duality relations between them.

Keywords: Necessary/sufficient condition; Duality; Positively properly efficient solution; Generalized convex function; Semi-infinite optimization (search for similar items in EconPapers)
Date: 2014
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DOI: 10.1007/s10957-013-0425-2

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