Sufficient conditions for pseudo-Lipschitz property in convex semi-infinite vector optimization problems |
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Authors: | Thai Doan Chuong |
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Institution: | a Department of Mathematics, Dong Thap University, 783 Pham Huu Lau Road, Cao Lanh City, Dong Thap Province, Viet Nam b Department of Applied Mathematics, National Sun Yat-Sen University, Kaohsiung 804, Taiwan |
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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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Keywords: | 49K40 46N10 90C29 90C31 |
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