Results 21 to 30 of about 1,627,856 (332)
Transversality Properties: Primal Sufficient Conditions
, 2020 The paper studies 'good arrangements' (transversality properties) of collections of sets in a normed vector space near a given point in their intersection.
Cuong, Nguyen Duy, Kruger, Alexander Y.
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Asymptotic evolution of acyclic random mappings [PDF]
, 2007 An acyclic mapping from an $n$ element set into itself is a mapping $\phi$ such that if $\phi^k(x) = x$ for some $k$ and $x$, then $\phi(x) = x$. Equivalently, $\phi^\ell = \phi^{\ell+1} = ...$ for $\ell$ sufficiently large.
Evans, Steven N., Lidman, Tye
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, 2016 The resolvent operator approach of [1] is applied to solve a set-valued variational inclusion problem in ordered Hilbert spaces. The resolvent operator under consideration is called relaxed resolvent operator and we demonstrate some of its properties. To
Iqbal Ahmad, R. Ahmad, J. Iqbal
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Quantitative Convergence Analysis of Iterated Expansive, Set-Valued Mappings [PDF]
Mathematics of Operations Research, 2016 We develop a framework for quantitative convergence analysis of Picard iterations of expansive set-valued fixed point mappings. There are two key components of the analysis.
N. H. Thao +3 more
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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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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
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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
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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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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
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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
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