Existence and approximation results for SKC mappings in CAT(0) spaces View Full Text


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Article Info

DATE

2014-05-23

AUTHORS

Mujahid Abbas, Safeer Hussain Khan, Mihai Postolache

ABSTRACT

Recently, Karapınar and Tas (Comput. Math. Appl. 61:3370-3380, 2011) extended the class of Suzuki-generalized nonexpansive mappings to the class of SKC mappings. In this paper, we investigate SKC mappings to get a criterion to guarantee a fixed point, via extending the results proved by Karapınar and Tas into the class of CAT(0) spaces. Further, by using Ishikawa-type iteration scheme for two mappings, we derive approximation fixed point sequence. Our results extend, improve and unify some existing results in this direction, such as (Nonlinear Anal. Hybrid Syst. 4:25-31, 2010) by Nanjaras et al. or (Comput. Math. Appl. 61:109-116, 2011) by Khan and Abbas.MSC:47H09, 47H10, 49M05. More... »

PAGES

212

References to SciGraph publications

  • 1972-12. Groupes Réductifs Sur Un Corps Local in PUBLICATIONS MATHÉMATIQUES DE L'IHÉS
  • 1999. Metric Spaces of Non-Positive Curvature in NONE
  • 2010-12-29. Strong Convergence of an Implicit Algorithm in CAT(0) Spaces in FIXED POINT THEORY AND APPLICATIONS
  • Identifiers

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    http://scigraph.springernature.com/pub.10.1186/1029-242x-2014-212

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    http://dx.doi.org/10.1186/1029-242x-2014-212

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