Title of article
SUFFICIENCY AND DUALITY OF SET-VALUED OPTIMIZATION PROBLEMS VIA HIGHER-ORDER CONTINGENT DERIVATIVE
Author/Authors
DAS ، K. - Indian Institute of Technology Kharagpur , NAHAK ، C. - Indian Institute of Technology Kharagpur
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Abstract
In this paper, we study set-valued optimization problems via higher-order contingent derivative and establish the sufficient Karush-Kuhn-Tucker (KKT) optimality conditions under generalized convexity assumptions. We also prove weak, strong and converse duality theorems of Mond-Weir, Wolfe and mixed types. As a special case, our results coincide with the existing ones available in vector optimization.
Keywords
Convex cone , contingent derivative , set , valued optimization , ρ − (η , θ) , invexity , duality
Journal title
Journal of Advanced Mathematical Studies
Serial Year
2015
Journal title
Journal of Advanced Mathematical Studies
Record number
2477791
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