Results 21 to 30 of about 6,026,362 (290)
On the Borel Classes of Set-Valued Maps of Two Variables
Annales Mathematicae Silesianae, 2020 Using the Borel classification of set-valued maps, we present here some new results on set-valued maps which are similar to some of the well known theorems on functions due to Lebesgue and Kuratowski.
Holá Ľubica, Kwiecińska Grażyna
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An Extension of the Carathéodory Differentiability to Set-Valued Maps
Abstract and Applied Analysis, 2021 This paper uses the generalization of the Hukuhara difference for compact convex set to extend the classical notions of Carathéodory differentiability to multifunctions (set-valued maps). Using the Hukuhara difference and affine multifunctions as a local
Pedro Hurtado +3 more
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Set-Valued Robust Mappings and Approximatable Mappings
Journal of Mathematical Analysis and Applications, 1994 The second author recently proposed the concept of robustness of sets and functions for weakening the requirement of continuity of the objective functions and constraints in global optimization problems. In this paper the authors propose the concept of lower robustness and of lower approximation for a set-valued mapping and show that any lower ...
Shi, S.Z., Zheng, Q., Zhuang, D.M.
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Noncompact Equilibrium Points for Set-Valued Maps
Abstract and Applied Analysis, 2014 We prove a generalized result on the existence of equilibria for a monotone set-valued map defined on noncompact domain and take its values in an order of topological vector space. As consequence, we give a new variational inequality.
Souhail Chebbi, Bessem Samet
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Axioms, 2023 In this work, by using the iterative method, we discuss the existence and uniqueness of solutions for multiterm fractional boundary value problems. Next, we examine some existence and uniqueness returns for semilinear fractional differential inclusions ...
Safia Meftah +3 more
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Journal of Inequalities and Applications, 2017 Using the existence of solutions for equilibrium equations with a Neumann type boundary condition as developed by Shi and Liao (J. Inequal. Appl. 2015:363, 2015), we obtain the Riesz integral representation for continuous linear maps associated with ...
Zhaoqi Ji +3 more
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FIXED POINT THEOREMS OF FUZZY SET-VALUED MAPS WITH APPLICATIONS
Проблемы анализа, 2020 In this paper, we introduce the notion of Suzuki-type (𝛼, 𝛽)-weak contractions in the setting of fuzzy set-valued maps, thereby establishing some fuzzy fixed point theorems. Moreover, one of our theorems is applied to study a homotopy result.
Mohammed Shehu Shagari, Akbar Azam
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Necessary and Sufficient Conditions for Set-Valued Maps with Set Optimization
Abstract and Applied Analysis, 2018 Optimality conditions are studied for set-valued maps with set optimization. Necessary conditions are given in terms of S-derivative and contingent derivative.
Abdessamad Oussarhan, Ikram Daidai
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Random Lifting of Set-Valued Maps
, 2022 In this paper we discuss the properties of particular set-valued maps in the space of probability measures on a finite-dimensional space that are con- structed by mean of a suitable lift of set-valued map in the underlying space. In particular, we are interested to establish under which conditions some good regularity properties of the original set ...
Rossana Capuani +2 more
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Fixed Point Theory and Applications, 2009 In hyperconvex metric spaces, we first present a coincidence point theorem for condensing set-valued self-maps. Then we consider the best approximation problem and the best proximity problem for set-valued mappings that are condensing. As an application,
A. Amini-Harandi +3 more
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