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Isolated and Proper Efficiencies in Semi-Infinite Vector Optimization Problems
Authors:Thai Doan Chuong  Jen-Chih Yao
Affiliation:1. Department of Mathematics & Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Ho Chi Minh City, Vietnam
2. Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung, 807, Taiwan
3. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
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:
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