Lipschitz behavior of solutions to nonconvex semi-infinite vector optimization problems

Authors:
N. Q. Huy;D. S. Kim
Affiliations:
Department of Mathematics, Hanoi Pedagogical University No. 2, Phuc Yen, Vietnam;Department of Applied Mathematics, Pukyong National University, Pusan, Republic of Korea 608-737
Venue:
Journal of Global Optimization
Year:
2013

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Abstract

This paper is devoted to developing new applications from the limiting subdifferential in nonsmooth optimization and variational analysis to the study of the Lipschitz behavior of the Pareto solution maps in parametric nonconvex semi-infinite vector optimization problems (SIVO for brevity). We establish sufficient conditions for the Aubin Lipschitz-like property of the Pareto solution maps of SIVO under perturbations of both the objective function and constraints.