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Relevant bibliographies by topics / Commuting nonexpansive mappings

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Academic literature on the topic 'Commuting nonexpansive mappings'

Author: Grafiati

Published: 3 June 2025

Last updated: 31 July 2025

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Journal articles on the topic "Commuting nonexpansive mappings"

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Elamrani, M., A. B. Mbarki, and B. Mehdaoui. "Common fixed point theorems for commutingk-uniformly Lipschitzian mappings." International Journal of Mathematics and Mathematical Sciences 25, no. 3 (2001): 145–52. http://dx.doi.org/10.1155/s0161171201004902.

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We give a common fixed point existence theorem for any sequence of commutingk-uniformly Lipschitzian mappings (eventually, fork=1for any sequence of commuting nonexpansive mappings) defined on a bounded and complete metric space(X,d)with uniform normal structure. After that we deduce, by using the Kulesza and Lim (1996), that this result can be generalized to any family of commutingk-uniformly Lipschitzian mappings.

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Laowang, W., and B. Panyanak. "A Note on Common Fixed Point Results in Uniformly Convex Hyperbolic Spaces." Journal of Mathematics 2013 (2013): 1–5. http://dx.doi.org/10.1155/2013/503731.

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It is shown that the notion of mappings satisfying condition(K)introduced by Akkasriworn et al. (2012) is weaker than the notion of asymptotically quasi-nonexpansive mappings in the sense of Qihou (2001) and is weaker than the notion of pointwise asymptotically nonexpansive mappings in the sense of Kirk and Xu (2008). We also obtain a common fixed point for a commuting pair of a mapping satisfying condition(K)and a multivalued mapping satisfying condition(Cλ)for someλ∈(0,1). Our results properly contain the results of Abkar and Eslamian (2012), Akkasriworn et al. (2012), and many others.

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SALAME, KHADIME. "AMENABLE SEMIGROUPS OF NONLINEAR OPERATORS IN UNIFORMLY CONVEX BANACH SPACES." Bulletin of the Australian Mathematical Society 99, no. 2 (2018): 284–92. http://dx.doi.org/10.1017/s0004972718001077.

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In 1965, Browder proved the existence of a common fixed point for commuting families of nonexpansive mappings acting on nonempty bounded closed convex subsets of uniformly convex Banach spaces. The purpose of this paper is to extend this result to left amenable semigroups of nonexpansive mappings.

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Mathpal, P. C., L. K. Joshi, Mahesh Joshi, and N. Chandra. "Common fixed point theorems for hybrid pair of mappings." Filomat 31, no. 10 (2017): 2975–79. http://dx.doi.org/10.2298/fil1710975m.

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ALFURAIDAN, M. R. "Retraction method in fixed point theory for monotone nonexpansive mappings." Carpathian Journal of Mathematics 32, no. 3 (2016): 271–76. http://dx.doi.org/10.37193/cjm.2016.03.02.

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In this paper we study the properties of the common fixed points set of a commuting family of monotone nonexpansive mappings in Banach spaces endowed with a graph. In particular, we prove that under certain conditions, this set is a monotone nonexpansive retract.

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K., Piesie Frimpong, and Prempeh E. "Viscosity Approximation Methods in Reflexive Banach Spaces." British Journal of Mathematics & Computer Science 22, no. 2 (2017): 1–11. https://doi.org/10.9734/BJMCS/2017/33396.

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In this paper, we study viscosity approximation methods in reflexive Banach spaces. Let X be a reflexive Banach space which admits a weakly sequentially continuous duality mapping <em>j : X → X<sup>*</sup>, C</em> a nonempty closed convex subset of <em>X, h<sub>n</sub></em>, where n ≥1 a sequence of contractions on C and Tn, n = 1; 2; 3; N, for N 2 N, a nite family of commuting nonexpansive mappings on C. We show that under appropriate conditions on n the explicit iterative sequence n de ned by n+1 = nhn(n) + (1 􀀀 n)Tnn; n 1; 1 2 C where n 2 (0; 1) converges strongly to a common xed point 2 NT

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Pasom, P., and B. Panyanak. "Common Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces." Journal of Applied Mathematics 2012 (2012): 1–17. http://dx.doi.org/10.1155/2012/327434.

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LetCbe a nonempty bounded closed convex subset of a complete CAT(0) spaceX. We prove that the common fixed point set of any commuting family of asymptotic pointwise nonexpansive mappings onCis nonempty closed and convex. We also show that, under some suitable conditions, the sequence{xk}k=1∞defined byxk+1=(1-tmk)xk⊕tmkTmnky(m-1)k, y(m-1)k=(1-t(m-1)k)xk⊕t(m-1)kTm-1nky(m-2)k,y(m-2)k=(1-t(m-2)k)xk⊕t(m-2)kTm-2nky(m-3)k,…,y2k=(1-t2k)xk⊕t2kT2nky1k,y1k=(1-t1k)xk⊕t1kT1nky0k,y0k=xk, k∈N, converges to a common fixed point ofT1,T2,…,Tmwhere they are asymptotic pointwise nonexpansive mappings onC,{tik}k=1

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K., Piesie Frimpong, and Prempeh E. "Viscosity Approximation Methods in Re exive Banach Spaces with a Sequence of Contractions." British Journal of Mathematics & Computer Science 22, no. 3 (2017): 1–10. https://doi.org/10.9734/BJMCS/2017/33414.

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The aim of this paper is to study viscosity approximation methods in re exive Banach spaces. Let E be a re exive Banach space which admits a weakly sequentially continuous duality mapping j : E → E , C a nonempty closed convex subset of E, μn, n ≥ 1 a sequence of contractions on C and Tn, n = 1, 2, 3, · · ·N a nite family of nonexpansive mappings on C. We show that under appropriate conditions on κ the implicit iterative sequence τ de ned by τ = κμn(τ) + (1 − κ)Tnτ where κ ∈ (0, 1) converges strongly to a common xed point τ ∈ k∩ n=1 FTn. We further show that the results hold for an in nite fam

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Borzdyński, Sławomir, and Andrzej Wiśnicki. "A common fixed point theorem for a commuting family of weak*continuous nonexpansive mappings." Studia Mathematica 225, no. 2 (2014): 173–81. http://dx.doi.org/10.4064/sm225-2-4.

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Shukla, Rahul. "Some new fixed point theorems of α-partially nonexpansive mappings". Demonstratio Mathematica 57, № 1 (2024). http://dx.doi.org/10.1515/dema-2023-0148.

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Abstract In this paper, we introduce a new class of nonlinear mappings and compare it to other classes of nonlinear mappings that have appeared in the literature. We establish various existence and convergence theorems for this class of mappings under different assumptions in Banach spaces, particularly Banach spaces with a normal structure. In addition, we provide examples to substantiate the findings presented in this study. We prove the existence of a common fixed point for a family of commuting α \alpha -partially nonexpansive self-mappings. Furthermore, we extend the results reported by S

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Book chapters on the topic "Commuting nonexpansive mappings"

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"Common Fixed Points for Families of Commuting Nonexpansive Mappings." In Lecture Notes in Mathematics. Springer London, 2009. http://dx.doi.org/10.1007/978-1-84882-190-3_17.

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Conference papers on the topic "Commuting nonexpansive mappings"

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Kuczumow, Tadeusz, and Małgorzata Michalska. "The common fixed point set of commuting nonexpansive mappings in Cartesian products of separable spaces." In Fixed Point Theory and its Applications. Institute of Mathematics Polish Academy of Sciences, 2007. http://dx.doi.org/10.4064/bc77-0-13.

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