Results 21 to 30 of about 6,189,727 (240)
Convergence of Inexact Iterative Schemes for Nonexpansive Set-Valued Mappings
Fixed Point Theory and Applications, 2010 Taking into account possibly inexact data, we study iterative schemes for approximating fixed points and attractors of contractive and nonexpansive set-valued mappings, respectively.
Simeon Reich, Alexander J. Zaslavski
doaj +2 more sources
Generalized Lower and Upper Approximations in Quantales
Journal of Applied Mathematics, 2012 We introduce the concepts of set-valued homomorphism and strong set-valued homomorphism of a quantale which are the extended notions of congruence and complete congruence, respectively.
Qimei Xiao, Qingguo Li
doaj +1 more source
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
openaire +8 more sources
Journal of Applied Mathematics, 2012 We prove the existence of solutions for third-order nonconvex state-dependent sweeping process with unbounded perturbations of the form: -A(x(3)(t))∈N(K(t,ẋ(t)); A(ẍ(t)))+F(t,x(t),ẋ(t),ẍ(t))+G(x(t),ẋ(t),ẍ(t)) a.e. [0,T], A(ẍ(t))∈K(t,ẋ(t)),
M. Bounkhel, B. Al-Senan
doaj +1 more source
Electronic Journal of Qualitative Theory of Differential Equations, 2012 In a previous work the authors proved under a complex assumption on the set-valued mapping, the existence of Lipschitz solutions for second order convex sweeping processes in $p$-uniformly smooth and $q$-uniformly convex Banach spaces.
Messaoud Bounkhel
doaj +1 more source
Generalized Rough Sets Applied to BCK/BCI-Algebras
Discussiones Mathematicae - General Algebra and Applications, 2021 The concept of a (strong) set-valued BCK/BCI-morphism in BCK/BCI-algebras is considered, and several properties are investigated. Conditions for a set-valued mapping to be a set-valued BCK/BCI-morphism are given.
Jun Young Bae +2 more
doaj +1 more source
Abstract and Applied Analysis, 2013 We study the connectedness of solution set for set-valued weak vector variational inequality in unbounded closed convex subsets of finite dimensional spaces, when the mapping involved is scalar C-pseudomonotone.
Ren-you Zhong +2 more
doaj +1 more source
F1000ResearchThis paper examines the correlation between the inverse shadowing property and the ergodic shadowing property for set-valued mappings. First, we present appropriate definitions of inverse shadowing and ergodic shadowing properties within the context of ...
Farah Wattan Kamil +1 more
doaj +1 more source
On Stationary Points of Mean Nonexpansive Set-valued Mappings in Banach Spaces
Journal of Harbin University of Science and Technology, 2018 The fixed point theory of the set-valued mappings has important applications in many branches such as modern variation problems，optimization problems and economic equilibrium problems，and it has been an essential part of nonlinear functional analysis ...
CHEN Li-li, GAO Lu, ZHOU Jing
doaj +1 more source
, 1998 We establish homology groups based on a class of set-valued mappings and prove they are isomorphic to the classical homology groups. Any set-valued mapping in this class induces homomorphisms between homology groups of two topological spaces.
Yongxin Li, Li, Yongxin
core +1 more source