Results 11 to 20 of about 450,792 (279)
Generalized quasiconvex set-valued maps
Journal of Numerical Analysis and Approximation Theory, 2002 The aim of this paper is to introduce a concept of quasiconvexity for set-valued maps in a general framework, by only considering an abstract convexity structure in the domain and an arbitrary binary relation in the codomain.
Nicolae Popovici
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Noncompact Equilibrium Points for Set-Valued Maps [PDF]
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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Generalized convex set-valued maps
Journal of Mathematical Analysis and Applications, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Benoist, Joël, Popovici, Nicolae
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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 Mapping and Rough Probability [PDF]
Mathematical Sciences Letters, 2018 In 1982, the theory of rough sets proposed by Pawlak and in 2013, Luay concerned a rough probability by using the notion of Topology. In this paper, we study the rough probability in the stochastic approximation spaces by using set-valued mapping and obtain results on rough expectation, and rough variance.
Sedghi, Shaban +3 more
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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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On the Newton method for set-valued maps [PDF]
, 2012 The Newton method is one of the most powerful tools used to solve systems of nonlinear equations. Its set-valued generalization, considered in this work, allows one to solve also nonlinear equations with geometric constraints and systems of ...
Dias, Susana, Smirnov, Georgi
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