Sensitivity analysis in parametric vector optimization in Banach spaces via ${\tau}^w$-contingent derivatives

Authors: THANH TUNG LE, THANH HUNG PHAM

Abstract: This paper is concerned with sensitivity analysis in parametric vector optimization problems via ${\tau}^w$-contingent derivatives. Firstly, relationships between the ${\tau}^w$-contingent derivative of the Borwein proper perturbation map and the ${\tau}^w$-contingent derivative of feasible map in objective space are considered. Then, the formulas for estimating the ${\tau}^w$-contingent derivative of the Borwein proper perturbation map via the ${\tau}^w$-contingent of the constraint map and the Hadamard derivative of the objective map are obtained.

Keywords: Parametric vector optimization problem, ${\tau}^w-$contingent derivative, Borwein perturbation map, Borwein efficient solution map, sensitivity analysis

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