PARAMETRIC SET-VALUED OPTIMIZATION PROBLEMS UNDER GENERALIZED CONE CONVEXITY
¹Koushik Das1 and Chandal Nahak²
¹Department of Mathematics, Taki Government College, Taki - 743429, West Bengal, India
²Department of Mathematics, Indian Institute of Technology Kharagpur, Kharagpur - 721302, West Bengal, India
(Received : February 11, 2020; Revised: February 19, 2021)
In this paper, we establish sufficient Karush-Kuhn-Tucker (KKT) conditions for a parametric set-valued optimization problem under contingent epiderivative and generalized cone convexity assumptions. We also study duality results of Mond-Weir, Wolfe, and mixed types for weak solutions of a pair of set-valued optimization problems.
2010 Mathematics Subject Classifications: 26B25; 49N15.
Keywords and phrases: Convex Cone; Set-Valued Map; Contingent Epiderivative; Duality.
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