Results 1 to 10 of about 338 (167)
From resolvents to generalized equations and quasi-variational inequalities: existence and differentiability [PDF]
Journal of Nonsmooth Analysis and Optimization, 2022 We consider a generalized equation governed by a strongly monotone and Lipschitz single-valued mapping and a maximally monotone set-valued mapping in a Hilbert space. We are interested in the sensitivity of solutions w.r.t. perturbations of both mappings.
Gerd Wachsmuth
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Axioms, 2022 In this paper, we introduce and study a new class of differential set-valued inverse variational inequalities in finite dimensional spaces. By applying a result on differential inclusions involving an upper semicontinuous set-valued mapping with closed ...
Xinyue Zhu, Wei Li, Xueping Luo
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Several Theorems on Single and Set-Valued Prešić Type Mappings
Mathematics, 2020 In this study, we introduce set-valued Prešić type almost contractive mapping, Prešić type almost F-contractive mapping and set-valued Prešić type almost F-contractive mapping in metric space and prove some fixed point results for these mappings ...
Seher Sultan Yeşilkaya, Cafer Aydın
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Roughness in Membership Continuous Function
مجلة المختار للعلوم, 2021 In this paper, we introduce the new definition of rough membership function using continuous function and we discuss several concepts and properties of rough continuous set value functions as new results on rough continuous function and membership ...
Faraj.A. Abdunani, Ahmed.A. Shletiet
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Mathematics, 2023 In this paper, we study a fixed-point problem with a set-valued mapping by using an algorithm based on unions of nonexpansive mappings. We show that an approximate solution is reached after a finite number of iterations in the presence of computational ...
Alexander J. Zaslavski
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S-derivative of perturbed mapping and solution mapping for parametric vector equilibrium problems
Journal of Inequalities and Applications, 2021 In this paper, we deal with the sensitivity analysis in vector equilibrium problems by using the S-derivative of a set-valued mapping. We first investigate the S-derivative on a kind of set-valued gap function for the vector equilibrium problems.
Xicai Deng, Wei Zhao
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Applied General Topology, 2023 In this paper, we prove the existence of fixed point results for set-valued mappings in Menger probabilistic metric spaces equipped with an amorphous binary relation and a Hadžić -type t-norm.
Gopi Prasad +2 more
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Some Maximal Elements' Theorems in FC-Spaces
Journal of Inequalities and Applications, 2009 Let I be a finite or infinite index set, let X be a topological space, and let (Yi,φNi)i∈I be a family of FC-spaces. For each i∈I, let Ai:X→2Yi be a set-valued mapping. Some new existence theorems of maximal elements for a set-
Rong-Hua He, Yong Zhang
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A characterization of open mapping in terms of convergent sequences
International Journal of Mathematics and Mathematical Sciences, 2006 It is certainly well known that a mapping between metric spaces is continuous if and only if it preserves convergent sequences. Does there exist a comparable characterization for the mapping to be open?
Irwin E. Schochetman
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Single valued neutrosophic mappings defined by single valued neutrosophic relations with applications [PDF]
Neutrosophic Sets and Systems, 2020 In this paper, we introduce the notion of single valued neutrosophic mapping defined by single valued neutrosophic relation which is considered as a generalization of fuzzy mapping defined by fuzzy relation and several properties related to this notion
Abdelkrim Latreche +3 more
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