Results 1 to 10 of about 1,627,856 (332)
Set-valued mapping and Rough Probability [PDF]
Mathematical Sciences Letters, 2017 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 ...
Firouzian, Siamak +3 more
core +2 more sources
Decompositions of set-valued mappings [PDF]
Algebra and Discrete Mathematics, 2020 Let X be a set, BX denotes the family of all subsets of X and F:X→BX be a set-valued mapping such that x∈F(x), supx∈X|F(x)|<κ, supx∈X|F−1(x)|<κ for all x∈X and some infinite cardinal κ. Then there exists a family F of bijective selectors of F such that |F|<κ and F(x)={f(x):f∈F} for each x∈X.
I. Protasov
openaire +5 more sources
New Generalizations of Set Valued Interpolative Hardy-Rogers Type Contractions in b-Metric Spaces
Journal of Function Spaces, 2021 Debnath and De La Sen introduced the notion of set valued interpolative Hardy-Rogers type contraction mappings on b-metric spaces and proved that on a complete b-metric space, whose all closed and bounded subsets are compact, the set valued interpolative
Muhammad Usman Ali +2 more
doaj +2 more sources
An inverse mapping theorem for set-valued maps [PDF]
Proceedings of the American Mathematical Society, 1994 We prove that certain Lipschitz properties of the inverse F − 1 {F^{ - 1}} of a set-valued map F are inherited by the map ( f + F ) − 1 {(f + F)^{ - 1}} when f ...
Dontchev, A. L., Hager, W. W.
openaire +2 more sources
The Tikhonov Regularization Method for Set-Valued Variational Inequalities
Abstract and Applied Analysis, 2012 This paper aims to establish the Tikhonov regularization theory for set-valued variational inequalities. For this purpose, we firstly prove a very general existence result for set-valued variational inequalities, provided that the mapping involved has ...
Yiran He
doaj +2 more sources
A Steepest Descent Method for Set Optimization Problems with Set-Valued Mappings of Finite Cardinality [PDF]
Journal of Optimization Theory and Applications, 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.
G. Bouza, Ernest Quintana, C. Tammer
semanticscholar +1 more source
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
doaj +1 more source
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
doaj +1 more source
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
doaj +1 more source
Fixed Point Theorem for Set Valued Mapping with Rational Condition
, 2020 In this paper, we generalized the principle of Banach contractive to the relative formula and then used this formula to prove that the set valued mapping has a fixed point in a complete partial metric space. We also showed that the set-valued mapping can
L. J. Khaleel, B. Ahmed
semanticscholar +1 more source