Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces
Let K be a nonempty subset of a metric space. A mapping T : K → K is said to satisfy condition (C) (sometimes called Suzuki-generalized nonexpansive) if frac(1, 2) d (x, T x) ≤ d (x, y) implies d (T x, T y) ≤ d (x, y) for all x, y ∈ K . In this paper, we obtain fixed point theorems and convergence t...
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th-cmuir.6653943832-385742015-06-16T07:53:21Z Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces Nanjaras,B. Panyanak,B. Phuengrattana,W. Computer Science Applications Control and Systems Engineering Analysis Let K be a nonempty subset of a metric space. A mapping T : K → K is said to satisfy condition (C) (sometimes called Suzuki-generalized nonexpansive) if frac(1, 2) d (x, T x) ≤ d (x, y) implies d (T x, T y) ≤ d (x, y) for all x, y ∈ K . In this paper, we obtain fixed point theorems and convergence theorems for such mappings in a CAT(0) space setting. Our results extend and improve many results in the literature. © 2009 Elsevier Ltd. All rights reserved. 2015-06-16T07:53:20Z 2015-06-16T07:53:20Z 2010-02-01 Article 1751570X 2-s2.0-70350571117 10.1016/j.nahs.2009.07.003 http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=70350571117&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38574 Elsevier BV |
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Computer Science Applications Control and Systems Engineering Analysis |
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Computer Science Applications Control and Systems Engineering Analysis Nanjaras,B. Panyanak,B. Phuengrattana,W. Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces |
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Let K be a nonempty subset of a metric space. A mapping T : K → K is said to satisfy condition (C) (sometimes called Suzuki-generalized nonexpansive) if frac(1, 2) d (x, T x) ≤ d (x, y) implies d (T x, T y) ≤ d (x, y) for all x, y ∈ K . In this paper, we obtain fixed point theorems and convergence theorems for such mappings in a CAT(0) space setting. Our results extend and improve many results in the literature. © 2009 Elsevier Ltd. All rights reserved. |
| format |
Article |
| author |
Nanjaras,B. Panyanak,B. Phuengrattana,W. |
| author_facet |
Nanjaras,B. Panyanak,B. Phuengrattana,W. |
| author_sort |
Nanjaras,B. |
| title |
Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces |
| title_short |
Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces |
| title_full |
Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces |
| title_fullStr |
Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces |
| title_full_unstemmed |
Fixed point theorems and convergence theorems for Suzuki-generalized nonexpansive mappings in CAT(0) spaces |
| title_sort |
fixed point theorems and convergence theorems for suzuki-generalized nonexpansive mappings in cat(0) spaces |
| publisher |
Elsevier BV |
| publishDate |
2015 |
| url |
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=70350571117&origin=inward http://cmuir.cmu.ac.th/handle/6653943832/38574 |
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