Results 1 to 10 of about 73,275 (204)
Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups [PDF]
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
exaly +3 more sources
On the Fixed-Point Set of a Family of Relatively Nonexpansive and Generalized Nonexpansive Mappings [PDF]
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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New Construction of Strongly Relatively Nonexpansive Sequences by Firmly Nonexpansive-Like Mappings
Mathematics, 2020 In recent works, many authors generated strongly relatively nonexpansive sequences of mappings by the sequences of firmly nonexpansive-like mappings. In this paper, we introduce a new method for construction of strongly relatively nonexpansive sequences ...
Hüseyin Işık +4 more
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On the Weak Relatively Nonexpansive Mappings in Banach Spaces [PDF]
Fixed Point Theory and Applications, 2010 In recent years, the definition of weak relatively nonexpansive mapping has been presented and studied by many authors. In this paper, we give some results about weak relatively nonexpansive mappings and give two examples which are weak relatively ...
Yongfu Su, Yongchun Xu
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Karpatsʹkì Matematičnì Publìkacìï, 2022 We consider the class of enriched generalized nonexpansive mappings which includes enriched Kannan mappings, nonexpansive enriched Chatterjea mappings and enriched mappings.
E. Simsek, I. Yildirim
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On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings
Abstract and Applied Analysis, 2023 In this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings.
Joseph Frank Gordon +5 more
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Demiclosedness Principles for Generalized Nonexpansive Mappings [PDF]
Journal of Optimization Theory and Applications, 2020 Demiclosedness principles are powerful tools in the study of convergence of iterative methods. For instance, a multi-operator demiclosedness principle for firmly nonexpansive mappings is useful in obtaining simple and transparent arguments for the weak convergence of the shadow sequence generated by the Douglas-Rachford algorithm. We provide extensions
Sedi Bartz, Rubén Campoy, Hung M. Phan
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Approximating of fixed points for Garsia-Falset generalized nonexpansive mappings
Journal of New Results in Science, 2023 This paper studies the convergence of fixed points for Garsia-Falset generalized nonexpansive mappings. First, it investigates weak and strong convergence results for Garsia-Falset generalized nonexpansive mappings using the Temir-Korkut iteration in ...
Oruç Zincir, Seyit Temir
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Fixed Point Theory and Algorithms for Sciences and Engineering, 2023 The purpose of this paper is to study the convergence theorems in CAT ( κ ) $\operatorname{CAT} (\kappa )$ spaces with k > 0 $k > 0$ for total asymptotically nonexpansive mappings which are essentially wider than nonexpansive mappings, asymptotically ...
Shih-sen Chang +3 more
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Iterative Algorithms for Nonexpansive Mappings [PDF]
Fixed Point Theory and Applications, 2007 AbstractWe suggest and analyze two new iterative algorithms for a nonexpansive mapping T in Banach spaces. We prove that the proposed iterative algorithms converge strongly to some fixed point of T.
Yao Yonghong, Liou Yeong-Cheng
openaire +3 more sources