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

Abbas, Mujahid; Khan, Safeer Hussain; Postolache, Mihai

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dc.contributor.author	Abbas, Mujahid
dc.contributor.author	Khan, Safeer Hussain
dc.contributor.author	Postolache, Mihai
dc.date.accessioned	2015-02-23T09:50:29Z
dc.date.available	2015-02-23T09:50:29Z
dc.date.issued	2014-05
dc.description.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.	en_ZA
dc.description.librarian	hb2015	en_ZA
dc.description.uri	http://www.journalofinequalitiesandapplications.com/	en_ZA
dc.identifier.citation	Abbas, M, Khan, SH & Postolache, M 2014, 'Existence and approximation results for SKC mappings in CAT(0) spaces', Journal of Inequalities and Applications, vol. 2014, art. no. 212, pp. 1-10.	en_ZA
dc.identifier.issn	1025-5834 (print)
dc.identifier.issn	1029-242X (online)
dc.identifier.other	10.1186/1029-242X-2014-212
dc.identifier.uri	http://hdl.handle.net/2263/43757
dc.language.iso	en	en_ZA
dc.publisher	SpringerOpen	en_ZA
dc.rights	© 2014 Abbas et al.; licensee Springer. This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/2.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.	en_ZA
dc.subject	Iterative process	en_ZA
dc.subject	SKC mapping	en_ZA
dc.subject	Existence	en_ZA
dc.subject	Common fixed point	en_ZA
dc.subject	Strong convergence	en_ZA
dc.subject	CAT(0) space	en_ZA
dc.subject	△-convergence	en_ZA
dc.title	Existence and approximation results for SKC mappings in CAT(0) spaces	en_ZA
dc.type	Article	en_ZA