Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces

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dc.contributor.author Khan, Safeer Hussain
dc.contributor.author Abbas, Mujahid
dc.date.accessioned 2014-09-23T05:07:40Z
dc.date.available 2014-09-23T05:07:40Z
dc.date.issued 2014
dc.description.abstract The existence of fixed points of single-valued mappings in modular function spaces has been studied by many authors. The approximation of fixed points in such spaces via convergence of an iterative process for single-valued mappings has also been attempted very recently by Dehaish and Kozlowski (Fixed Point Theory Appl. 2012:118, 2012). In this paper, we initiate the study of approximating fixed points by the convergence of a Mann iterative process applied on multivalued ρ-nonexpansive mappings in modular function spaces. Our results also generalize the corresponding results of (Dehaish and Kozlowski in Fixed Point Theory Appl. 2012:118, 2012) to the case of multivalued mappings. en_US
dc.description.librarian hb2014 en_US
dc.description.uri http://www.fixedpointtheoryandapplications.com/ en_US
dc.identifier.citation Khan, SH & Abbas, M 2014, 'Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces', Fixed Point Theory and Applications, vol. 2014, no. 1, art. 34, pp. 1-9. en_US
dc.identifier.issn 1687-1820 (print)
dc.identifier.issn 1687-1812 (online)
dc.identifier.other 10.1186/1687-1812-2014-34
dc.identifier.uri http://hdl.handle.net/2263/42064
dc.language.iso en en_US
dc.publisher SpringerOpen en_US
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), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. en_US
dc.subject Fixed point en_US
dc.subject Multivalued ρ-nonexpansive mapping en_US
dc.subject Iterative process en_US
dc.subject Modular function space en_US
dc.title Approximating fixed points of multivalued ρ-nonexpansive mappings in modular function spaces en_US
dc.type Article en_US


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