Results 1 to 10 of about 140 (77)

Higher-Order Weakly Generalized Epiderivatives and Applications to Optimality Conditions [PDF]

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   +5 more sources

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
Das Koushik, Nahak Chandal
doaj   +3 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
doaj   +3 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, Zhiang Zhou
doaj   +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

Mond-Weir and Wolfe Duality of Set-Valued Fractional Minimax Problems in Terms of Contingent Epi-Derivative of Second-Order

Mathematics, 2022
This paper is devoted to provide sufficient Karush Kuhn Tucker (in short, KKT) conditions of optimality of second-order for a set-valued fractional minimax problem.
Koushik Das, Savin Treanţă, Tareq Saeed   +2 more
doaj   +1 more source

Using ρ-cone arcwise connectedness on parametric set-valued optimization problems

Journal of Inequalities and Applications, 2022
Within the inquiry about work, we explore a parametric set-valued optimization problem, where the objective as well as constraint maps are set-valued.
Koushik Das, Mohammad Esmael Samei
doaj   +1 more source

Second‐Order Optimality Conditions for Set‐Valued Optimization Problems Under Benson Proper Efficiency

Abstract and Applied Analysis, Volume 2011, Issue 1, 2011., 2011
Some new properties are obtained for generalized second‐order contingent (adjacent) epiderivatives of set‐valued maps. By employing the generalized second‐order adjacent epiderivatives, necessary and sufficient conditions of Benson proper efficient solutions are given for set‐valued optimization problems.
Qilin Wang, Guolin Yu, D. Anderson
wiley   +1 more source

Higher-order Mond-Weir duality of set-valued fractional minimax programming problems [PDF]

Yugoslav Journal of Operations Research
In this paper, we consider a set-valued fractional minimax programming problem (abbreviated as SVFMPP) (MFP), in which both the objective and constraint maps are set-valued.
Das Koushik
doaj   +1 more source

Higher-order σ-cone arcwisely connectedness in optimization problems associated with difference of set-valued maps

Results in Control and Optimization
In this paper, an optimization problem (DP) is studied where the objective maps and the constraints are the difference of set-valued maps (abbreviated as SVMs).
Koushik Das
doaj   +1 more source