Results 11 to 20 of about 86 (54)

Second-order efficient optimality conditions for set-valued vector optimization in terms of asymptotic contingent epiderivatives [PDF]

RAIRO - Operations Research, 2021
We propose a generalized second-order asymptotic contingent epiderivative of a set-valued mapping, study its properties, as well as relations to some second-order contingent epiderivatives, and sufficient conditions for its existence. Then, using these epiderivatives, we investigate set-valued optimization problems with generalized inequality ...
Nguyen Minh Tung
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The role of directional compactness in the existence and computation of contingent epiderivatives

Journal of Mathematical Analysis and Applications, 2010
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Miguel Sama, Sama, Miguel
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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   +2 more sources

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 composed contingent epiderivatives and set-valued vector equilibrium problems [PDF]

Journal of Inequalities and Applications, 2014
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Wang, Qilin, Lin, Zhi, Zeng, Jing, Peng, Zaiyun, Li, Xiaobing   +4 more
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The existence of contingent epiderivatives for set-valued maps

Applied Mathematics Letters, 2003
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Johannes Jahn, A. A. Khan
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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 weak epiderivatives and applications to duality and optimality conditions [PDF]

, 2009
In this paper, the notions of higher order weak contingent epiderivative and higher order weak adjacent epiderivative for a set-valued map are defined. By virtue of higher order weak adjacent (contingent) epiderivatives and Henig efficiency, we introduce
Li, S., S.J. Li, Li, S.J., Chen, C.R., C.R. Chen, K.L. Teo, Teo, K.L., Chen, C., Teo, Kok Lay   +8 more
core   +1 more source