## Le Thanh Tung, Pham Thanh Hung, On generalized $\tau^w$-contingent epiderivatives in parametric vector optimization problems

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DOI: 10.23952/asvao.2.2020.1.08
Volume 2, Issue 1, 30 April 2020, Pages 123-137

Abstract. This paper is concerned with the sensitivity analysis in reflexive Banach spaces. We first establish the formulae for estimating the generalized $\tau^w$-contingent epiderivatives of the efficient solution maps and the perturbation maps in parametric vector optimization problems. Then, an application to the semi-infinite programming is provided. Some examples are also given for illustrating the obtained results.

Le Thanh Tung, Pham Thanh Hung, On generalized $\tau^w$-contingent epiderivatives in parametric vector optimization problems, Appl. Set-Valued Anal. Optim. 2 (2020), 123-137.