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AuthorAbbas, Mujahid
AuthorKhan, Safeer Hussain
AuthorPostolache, Mihai
Available date2016-09-21T08:12:09Z
Publication Date2014-05
Publication NameJournal of Inequalities and Applications
ResourceScopus
CitationAbbas et al.: "Existence and approximation results for SKC mappings in CAT(0) spaces". Journal of Inequalities and Applications 2014, 2014:212
ISSN1025-5834
URIhttp://dx.doi.org/10.1186/1029-242X-2014-212
URIhttp://hdl.handle.net/10576/4724
AbstractRecently, Karap?nar 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 Karap?nar 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.
Languageen
PublisherSpringer International Publishing
SubjectCommon fixed point
existence
iterative process
SKC mapping
strong convergence
CAT (0) space
△-convergence
TitleExistence and approximation results for SKC mappings in CAT(0) spaces
TypeArticle
Volume Number2014


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