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