Results 21 to 30 of about 1,128,824 (222)
Fixed Point Theorems for an Elastic Nonlinear Mapping in Banach Spaces
Abstract and Applied Analysis, 2015 Let E be a smooth Banach space with a norm ·. Let V(x,y)=x2+y2-2 x,Jy for any x,y∈E, where ·,· stands for the duality pair and J is the normalized duality mapping. We define a V-strongly nonexpansive mapping by V(·,·).
Hiroko Manaka
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Comments on the cosmic convergence of nonexpansive maps [PDF]
Journal of Fixed Point Theory and Applications, 2021 AbstractThis note discusses some aspects of the asymptotic behaviour of nonexpansive maps. Using metric functionals, we make a connection to the invariant subspace problem and prove a new result for nonexpansive maps of $$\ell ^{1}$$ ℓ 1 .
Gutiérrez, Armando W., Karlsson, Anders
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Iterated nonexpansive mappings [PDF]
Journal of Fixed Point Theory and Applications, 2018 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Tomás Domínguez Benavides +1 more
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On the Weak Relatively Nonexpansive Multivalued Mappings in Banach Spaces
Abstract and Applied Analysis, 2012 In recent years, the definition of relatively nonexpansive multivalued mapping and the definition of weak relatively nonexpansive multivalued mapping have been presented and studied by many authors.
Yongfu Su
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On a Class of Generalized Nonexpansive Mappings
Mathematics, 2020 In our recent work we have introduced and studied a notion of a generalized nonexpansive mapping. In the definition of this notion the norm has been replaced by a general function satisfying certain conditions.
Simeon Reich, Alexander J. Zaslavski
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Convexity in quasi-metric spaces [PDF]
, 2012 Includes abstract.Includes bibliographical references.The principal aim of this thesis is to investigate the existence of an injective hull in the categories of T-quasi-metric spaces and of T-ultra-quasi-metric spaces with nonexpansive ...
Otafudu, Olivier Olela
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On the Fixed-Point Set of a Family of Relatively Nonexpansive and Generalized Nonexpansive Mappings
Fixed Point Theory and Applications, 2010 We prove that the set of common fixed points of a given countable family of relatively nonexpansive mappings is identical to the fixed-point set of a single strongly relatively nonexpansive mapping.
Saejung Satit, Nilsrakoo Weerayuth
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Approximation of Fixed Points of Weak Bregman Relatively Nonexpansive Mappings in Banach Spaces
International Journal of Mathematics and Mathematical Sciences, 2011 We introduce a concept of weak Bregman relatively nonexpansive mapping which is distinct from Bregman relatively nonexpansive mapping. By using projection techniques, we construct several modification of Mann type iterative algorithms with errors and ...
Jiawei Chen +3 more
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Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups
Journal of Mathematical Analysis and Applications, 2003 Let \(C\) be a nonempty closed convex subset of a real Hilbert space and \(T:C\to C\) be a nonexpansive mapping. In the present paper, the authors investigate the sequence \(\{x_n\}\) generated by: \[ \begin{cases} x_0=x\in C,\\ y_n=\alpha_nx_n+ (1-\alpha_n)Tx_n,\;\alpha_n \in [0,a),\;a\in[0,1),\\ C_n=\bigl\{z\in C:\| y_n-z\|\leq\| x_n-z \| \bigr ...
Wataru Takahashi, Kazuhide Nakajo
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ON MULTIVALUED f-NONEXPANSIVE MAPS
Demonstratio Mathematica, 1999 The authors prove coincidence, fixed point, and convergence theorems which extend previous results by G. L. Acedo and H.-K. Xu, W. G. Dotson, G. Jungck and S. Sessa, and E. Lami Dozo.
Latif, Abdul, Tweddle, Ian
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