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Strong Convergence Theorems for Semigroups of Asymptotically Nonexpansive Mappings in Banach Spaces
Abstract and Applied Analysis, 2013 Let be a real reflexive Banach space with a weakly continuous duality mapping . Let be a nonempty weakly closed star-shaped (with respect to ) subset of .
D. R. Sahu +2 more
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Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces
International Journal of Mathematics and Mathematical Sciences, 2005 Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
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More on standard single valued neutrosophic metric spaces
Journal of Innovative Applied Mathematics and Computational Sciences, 2021 Recently, we have introduced the notion of standard single valued neutrosophic (SSVN) metric space as a generalization of the notion of standard fuzzy metric spaces given by J.R. Kider and Z.A. Hussain.
Soheyb Milles +2 more
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International Journal of Mathematics and Mathematical Sciences, 2006 Let E be a real uniformly smooth Banach space, and K a nonempty closed convex subset of E. Assume that T1+T2: K→K is a continuous and strongly pseudocontractive mapping, where T1:K→K is Lipschitz and T2:K→K has the bounded range mapping.
Xue Zhiqun
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Abstract and Applied Analysis, 2010 Let E be a real Banach space which is uniformly smooth and uniformly convex. Let K be a nonempty, closed, and convex sunny nonexpansive retract of E, where Q is the sunny nonexpansive retraction. If E admits weakly sequentially continuous duality mapping
Yekini Shehu, Jerry N. Ezeora
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Some remainders properties of uniform spaces and uniformly continuous mappings [PDF]
AIP Conference Proceedings, 2019 In the theory of uniform spaces and uniformly continuous mappings one of the interesting questions is the study of remainders of uniform spaces and uniformly continuous mappings. In this work we study some remainders properties of uniform spaces and uniformly continuous mappings.
B. E. Kanetov +2 more
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Journal of Applied Mathematics, 2012 Let 𝑋 be a uniformly convex Banach space and 𝒮={𝑇(𝑠)∶0≤𝑠0𝐹(𝑇(𝑠))≠∅. Consider the iterative method that generates the sequence {𝑥𝑛} by the algorithm 𝑥𝑛+1=𝛼𝑛𝑓(𝑥𝑛)+𝛽𝑛𝑥𝑛+(1−𝛼𝑛−𝛽𝑛)(1/𝑠𝑛)∫𝑠𝑛0𝑇(𝑠)𝑥𝑛𝑑𝑠,𝑛≥0, where {𝛼𝑛}, {𝛽𝑛}, and {𝑠𝑛} are three sequences ...
Haiqing Wang, Yongfu Su, Hong Zhang
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Exponential law for uniformly continuous proper maps
Publicacions Matemàtiques, 1988 The purpose of this note is to prove the exponential law for uniformly continuous proper maps.
Ayala, R., Domínguez, E., Quintero, A.
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On the uniformly continuity of the solution map for two dimensional wave maps
Electronic Journal of Qualitative Theory of Differential Equations, 2003 Summary: The aim of this paper is to analyse the properties of the solution map to the Cauchy problem for the wave map equation with a source term, when the target is the hyperboloid \({\mathcal H}^2\) that is embedded in \(\mathbb{R}^3\). The initial data are in \({\dot H}^1\times L^2\). We prove that the solution map is not uniformly continuous.
Georgiev, S., Georgieva, P.
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Related G-metrics and Fixed Points
Annals of the West University of Timisoara: Mathematics and Computer Science, 2018 For a single valued mapping T in a G-complete G-metric space (X, d), we show that if Tn,for some n> 1, is a contraction, then T itself is a contraction under another related G-metric d′. We establish moreover that if T is uniformly continuous, then d′ is
Gaba Yaé Ulrich O.
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