Open AccessSet-valued optimization problems via second-order contingent epiderivative
Author(s) -
Koushik Das,
C. Nahak
Publication year - 2021
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.