Open AccessSufficiency and duality of set-valued fractional programming problems via second-order contingent epiderivative
Author(s) -
Koushik Das
Publication year - 2022
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/yjor210218019d
Subject(s) - karush–kuhn–tucker conditions , duality (order theory) , mathematics , convexity , order (exchange) , strong duality , fractional programming , wolfe duality , parametric statistics , dual (grammatical number) , set (abstract data type) , mathematical optimization , duality gap , weak duality , nonlinear programming , discrete mathematics , optimization problem , computer science , nonlinear system , art , statistics , physics , literature , finance , quantum mechanics , financial economics , economics , programming language
In this paper, we establish second-order sufficient KKT optimality conditions of a set-valued fractional programming problem under second-order generalized cone convexity assumptions. We also prove duality results between the primal problem and second-order dual problems of parametric, Mond-Weir, Wolfe, and mixed types via the notion of second-order contingent epiderivative.