Set-valued optimization problems via second-order contingent epiderivative [PDF]
Yugoslav Journal of Operations Research, 2021 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
, Chandal Nahak, Das Koushik
exaly +4 more sources
Sufficiency and duality of set-valued fractional programming problems via second-order contingent epiderivative [PDF]
Yugoslav Journal of Operations Research, 2022 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.
, Das Koushik
exaly +4 more sources
Globally proper efficiency of set-valued optimization and vector variational inequality involving the generalized contingent epiderivative [PDF]
Journal of Inequalities and Applications, 2018 In this paper, firstly, a new property of the cone subpreinvex set-valued map involving the generalized contingent epiderivative is obtained. As an application of this property, a sufficient optimality condition for constrained set-valued optimization ...
Wang Chen, Zhi-Ang Zhou, Zhou Zhiang
exaly +4 more sources
Higher-Order Weakly Generalized Epiderivatives and Applications to Optimality Conditions
Journal of Applied Mathematics, 2012 The notions of higher-order weakly generalized contingent epiderivative and higher-order weakly generalized adjacent epiderivative for set-valued maps are proposed.
Qilin Wang, Guolin Yu
doaj +2 more sources
The contingent epiderivative and the calculus of variations on time scales [PDF]
Optimization, 2012 The calculus of variations on time scales is considered. We propose a new approach to the subject that consists in applying a differentiation tool called the contingent epiderivative. It is shown that the contingent epiderivative applied to the calculus of variations on time scales is very useful: it allows to unify the delta and nabla approaches ...
Ewa Girejko +2 more
exaly +4 more sources
Variational characterization of the contingent epiderivative
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luis Rodríguez-Marín, MIGUEL Sama
exaly +2 more sources
About contingent epiderivatives
Journal of Mathematical Analysis and Applications, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Luis Rodríguez-Marín, MIGUEL Sama
exaly +2 more sources
The existence of contingent epiderivative for a set-valued mapping and vector variational-like inequalities [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sanyang Liu
exaly +2 more sources
On Constrained Set-Valued Semi-Infinite Programming Problems with ρ-Cone Arcwise Connectedness
Axioms, 2021 In this paper, we establish sufficient Karush–Kuhn–Tucker (for short, KKT) conditions of a set-valued semi-infinite programming problem (SP) via the notion of contingent epiderivative of set-valued maps. We also derive duality results of Mond–Weir (MWD),
Koushik Das, Savin Treanţă
doaj +1 more source