Fixed point results for set-contractions on metric spaces with a directed graph

Abbas, Mujahid; Alfuraidan, Monther Rashed; Khan, Abdul Rahim; Nazir, Talat

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dc.contributor.author	Abbas, Mujahid
dc.contributor.author	Alfuraidan, Monther Rashed
dc.contributor.author	Khan, Abdul Rahim
dc.contributor.author	Nazir, Talat
dc.date.accessioned	2015-12-04T07:43:04Z
dc.date.available	2015-12-04T07:43:04Z
dc.date.issued	2015
dc.description.abstract	In this paper, we establish the existence of fixed points for set-valued mappings satisfying certain graph contractions with set-valued domain endowed with a graph. These results unify, generalize, and complement various known comparable results in the literature.	en_ZA
dc.description.librarian	hb2015	en_ZA
dc.description.sponsorship	King Fahd University of Petroleum and Minerals project IN 121023.	en_ZA
dc.description.uri	http://link.springer.com/journal/11784	en_ZA
dc.identifier.citation	Abbas, M, Alfuraidan, MR, Khan, AR & Nazir, T 2015, 'Fixed point results for set-contractions on metric spaces with a directed graph', Fixed Point Theory and Applications, vol. 2015, art. 14, pp. 1-9	en_ZA
dc.identifier.issn	1687-1820 (print)
dc.identifier.issn	1687-1812 (online)
dc.identifier.other	http://dx.doi.org/10.1186/s13663-015-0263-z
dc.identifier.uri	http://hdl.handle.net/2263/51066
dc.language.iso	en	en_ZA
dc.publisher	SpringerOpen	en_ZA
dc.rights	© 2015 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/4.0).	en_ZA
dc.subject	Fixed point	en_ZA
dc.subject	Set-valued mapping	en_ZA
dc.subject	Set-valued domain	en_ZA
dc.subject	Directed graph	en_ZA
dc.subject	Graph φ-contraction	en_ZA
dc.title	Fixed point results for set-contractions on metric spaces with a directed graph	en_ZA
dc.type	Article	en_ZA