Semi-Infinite Optimization under Convex Function Perturbations: Lipschitz Stability |
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| Authors: | N Q Huy J-C Yao |
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| Institution: | 1.Department of Mathematics,Hanoi Pedagogical University No. 2,Phuc Yen,Vietnam;2.Department of Applied Mathematics,National Sun Yat-sen University,Kaohsiung,Taiwan |
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| Abstract: | This paper is devoted to the study of the stability of the solution map for the parametric convex semi-infinite optimization
problem under convex function perturbations in short, PCSI. We establish sufficient conditions for the pseudo-Lipschitz property
of the solution map of PCSI under perturbations of both objective function and constraint set. The main result obtained is
new even when the problems under consideration reduce to linear semi-infinite optimization. Examples are given to illustrate
the obtained results. |
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