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Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems |
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| Institution: | 1. School of Mathematics and Computer, Wuhan Textile University, Wuhan, Hubei 430073, China;2. Department of Electronic Engineering, City University of Hong Kong, Hong Kong, China;1. Biomedical and Pharmaceutical Research Center, Vietnam Military Medical University, Ha Noi, Viet Nam;2. Department of Public Health, Kanazawa Medical University, 1-1 Daigaku, Uchinada, Ishikawa 920-0293, Japan;3. System Emotional Science, Graduate School of Medicine, University of Toyama, 2630 Sugitani, Toyama 930-0194, Japan |
| Abstract: | This paper is devoted to the study of the pseudo-Lipschitz property of the efficient (Pareto) solution map for the perturbed convex semi-infinite vector optimization problem (CSVO). We establish sufficient conditions for the pseudo-Lipschitz property of the efficient solution map of (CSVO) under continuous perturbations of the right-hand side of the constraints and functional perturbations of the objective function. Examples are given to illustrate the obtained results. |
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