Lower semi-continuity of the Pareto solution map in quasiconvex semi-infinite vector optimization |
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Authors: | Thai Doan Chuong |
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Affiliation: | Department of Mathematics & Applications, Saigon University, 273 An Duong Vuong Street, Ward 3, District 5, Hochiminh City, Viet Nam |
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Abstract: | This paper is concerned with the lower semi-continuity of the efficient (Pareto) solution map for the perturbed quasiconvex semi-infinite vector optimization problem (QCSVO). We establish sufficient conditions for the lower semi-continuous property of the efficient solution map of (QCSVO) under functional perturbations of both the objective function and the constraints. Examples are designed to analyze the obtained results. |
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