Results 31 to 40 of about 152,682 (293)
Optimality criteria in set-valued optimization [PDF]
Journal of the Australian Mathematical Society, 2003 AbstractThe main aim of this paper is to obtain optimality conditions for a constrained set-valued optimization problem. The concept of Clarke epiderivative is introduced and is used to derive necessary optimality conditions. In order to establish sufficient optimality criteria we introduce a new class of set-valued maps which extends the class of ...
Lalitha, C. S. +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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Set-Valued T-Translative Functions and Their Applications in Finance
Mathematics, 2021 A theory for set-valued functions is developed, which are translative with respect to a linear operator. It is shown that such functions cover a wide range of applications, from projections in Hilbert spaces, set-valued quantiles for vector-valued random
Andreas H. Hamel, Frank Heyde
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Solving ill-posed bilevel programs [PDF]
, 2016 This paper deals with ill-posed bilevel programs, i.e., problems admitting multiple lower-level solutions for some upper-level parameters. Many publications have been devoted to the standard optimistic case of this problem, where the difficulty is ...
Zemkoho, Alain B., Alain B. Zemkoho
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Strict Efficiency in Set-Valued Optimization
SIAM Journal on Control and Optimization, 2009 In this paper, we develop the notion of a $\phi$-minimizer (or strict efficiency) for a set-valued map. Its properties and relations with other similar notions are studied. In special circumstances, under suitable conditions, we prove that a point is a $\phi$-minimizer of a vector function if and only if it is a $\phi$-minimizer of a certain family of ...
Fabián Flores Bazán +1 more
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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
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Mathematics, 2022 In this paper, by using the normal subdifferential and equilibrium-like function we first obtain some properties for K-preinvex set-valued maps. Secondly, in terms of this equilibrium-like function, we establish some sufficient conditions for the ...
Lu-Chuan Ceng +2 more
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A steepest descent method for set optimization problems with set-valued mappings of finite cardinality [PDF]
, 2021 In this paper, we study a first-order solution method for a particular class of set optimization problems where the solution concept is given by the set approach.
Bouza, Gemayqzel +2 more
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Weak Sharp Minima in Set-Valued Optimization Problems
Abstract and Applied Analysis, 2012 We introduce the notion of a weak ψ-sharp minimizer for set-valued optimization problems. We present some sufficient and necessary conditions that a pair point is a weak ψ-sharp minimizer through the outer limit of set-valued map and develop the ...
Ming-hao Jin, Jun-xiang Wang, Shu Xu
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Optimality and duality in set-valued optimization utilizing limit sets
Open Mathematics, 2018 This paper deals with optimality conditions and duality theory for vector optimization involving non-convex set-valued maps. Firstly, under the assumption of nearly cone-subconvexlike property for set-valued maps, the necessary and sufficient optimality ...
Kong Xiangyu, Zhang Yinfeng, Yu GuoLin
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