Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces

Khan, Safeer Hussain; Abbas, Mujahid

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dc.contributor.author	Khan, Safeer Hussain
dc.contributor.author	Abbas, Mujahid
dc.date.accessioned	2015-02-09T10:18:38Z
dc.date.available	2015-02-09T10:18:38Z
dc.date.issued	2014-09
dc.description.abstract	In this paper, we introduce an iteration scheme for two multivalued maps in Kohlenbach hyperbolic spaces. This extends the single-valued iteration process due to Agarwal et al. (J. Nonlinear Convex Anal. 8(1):61-79, 2007). Using this new algorithm, we approximate common fixed points of two multivalued mappings through △-convergence and strong convergence under some weaker conditions. A necessary and sufficient condition is given for strong convergence.	en_ZA
dc.description.librarian	hj2015	en_ZA
dc.description.uri	http://link.springer.com/journal/11784	en_ZA
dc.identifier.citation	Khan, SH & Abbas, M 2014, 'Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces', Fixed Point Theory and Applications, vol. 2014, art. #181, pp. 1-11.	en_ZA
dc.identifier.issn	1687-1820 (print)
dc.identifier.issn	1687-1812 (online)
dc.identifier.other	10.1186/1687-1812-2014-181
dc.identifier.uri	http://hdl.handle.net/2263/43599
dc.language.iso	en	en_ZA
dc.publisher	SpringerOpen	en_ZA
dc.rights	© 2014 Khan and Abbas; 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).	en_ZA
dc.subject	Hyperbolic space	en_ZA
dc.subject	Multivalued nonexpansive map	en_ZA
dc.subject	Strong convergence	en_ZA
dc.subject	Common fixed point	en_ZA
dc.subject	△-convergence	en_ZA
dc.title	Common fixed points of two multivalued nonexpansive maps in Kohlenbach hyperbolic spaces	en_ZA
dc.type	Article	en_ZA