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 [PDF]
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 [PDF]
Results in Control and OptimizationIn 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
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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 +2 more
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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
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New second-order radial epiderivatives and applications to optimality conditions [PDF]
, 2020 In this paper, we introduce the second-order weakly composed radial epiderivative of set-valued maps, discuss its relationship to the second-order weakly composed contingent epiderivative, and obtain some of its properties.
Qilin Wang, Xiaoyan Zhang
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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 +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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Some relationships among gw-subdifferential, directional derivative and radial epiderivative for nonconvex vector functions [PDF]
, 2015 WOS: 000349314300005In this work, we give some characterizations of gw-subdifferentiability of a vector-valued function by using its directional derivative and radial epiderivative.
Küçük, Yalçın +2 more
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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
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