Generalized second-order contingent epiderivatives in parametric vector optimization problems

Authors:
Xiang-Kai Sun;Sheng-Jie Li
Affiliations:
College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing, China 400067 and College of Mathematics and Statistics, Chongqing University, Chongqing, China 40133 ...;College of Mathematics and Statistics, Chongqing University, Chongqing, China 401331
Venue:
Journal of Global Optimization
Year:
2014

Citing 6
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Abstract

This paper is concerned with generalized second-order contingent epiderivatives of frontier and solution maps in parametric vector optimization problems. Under some mild conditions, we obtain some formulas for computing generalized second-order contingent epiderivatives of frontier and solution maps, respectively. We also give some examples to illustrate the corresponding results.