Set-valued optimization problems via second-order contingent epiderivative | Zendy

Koushik Das | Zendy; C. Nahak | Zendy

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Set-valued optimization problems via second-order contingent epiderivative

Author(s) -

Koushik Das,

C. Nahak

Publication year - 2020

Publication title -

yugoslav journal of operations research

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.221

H-Index - 21

eISSN - 1820-743X

pISSN - 0354-0243

DOI - 10.2298/yjor191215041d

Subject(s) - karush–kuhn–tucker conditions , dual polyhedron , convexity , order (exchange) , mathematical optimization , set (abstract data type) , mathematics , cone (formal languages) , optimization problem , mathematical economics , first order , computer science , combinatorics , algorithm , economics , finance , financial economics , programming language

In this paper, we establish second-order KKT conditions of a set-valued optimization problem and study second-order Mond-Weir, Wolfe, and mixed types duals with the help of second-order contingent epiderivative and second-order generalized cone convexity assumptions.

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