Results 11 to 20 of about 3,848 (206)
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 ...
Kazuhide Nakajo
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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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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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Convergence of Generalized Quasi-Nonexpansive Mappings in Hyperbolic Space
Journal of Function Spaces, 2022 In this article, we consider a wider class of nonexpansive mappings (locally related quasi-nonexpansive) than monotone nonexpansive mappings. We obtained the convergence of fixed point for quasi ϱ-preserving locally related quasi-nonexpansive mappings in
Naeem Saleem +3 more
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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 nonexpansive mappings [PDF]
Proceedings of the American Mathematical Society, 1976 A generalized Hilbert space property is used to analyze nonexpansive mappings in certain settings. In particular it is shown that in l 1
L A. Karlovitz
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On Multivalued Nonexpansive Mappings in ℝ‐Trees [PDF]
Journal of Applied Mathematics, 2012 The relationships between nonexpansive, weakly nonexpansive, *‐nonexpansive, proximally nonexpansive, proximally continuous, almost lower semicontinuous, and ɛ‐semicontinuous mappings in ℝ‐trees are studied. Convergence theorems for the Ishikawa iteration processes are also discussed.
Samanmit, K., Panyanak, B.
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On the Weak Relatively Nonexpansive Multivalued Mappings in Banach Spaces [PDF]
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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Common fixed points for nonexpansive type fuzzy mappings
International Journal of Mathematics and Mathematical Sciences, 1995 In this paper we define g-nonexpansive and g-nonexpansive type fuzzy mappings and prove common fixed point theorems for sequences of fuzzy mappings satisfying certain conditions on a Banach space. Thus we obtain fixed point theorems for nonexpansive type
Byung Soo Lee +3 more
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