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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| Format: | Article |
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Elsevier BV
2015
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| Online Access: | 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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| Summary: | 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. |
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