Common fixed point theorems of Gregus type for weakly compatible mappings satisfying generalized contractive conditions

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dc.contributor.authorAliouche, A
dc.date.accessioned2022-04-27T02:40:16Z
dc.date.available2022-04-27T02:40:16Z
dc.date.issued2008
dc.description.abstractWe prove a common fixed point theorem of Gregus type for four mappings satisfying a generalized contractive condition in metric spaces using the concept of weak compatibility which generalizes theorems of [I. Altun, D. Turkoglu, B.E. Rhoades, Fixed points of weakly compatible mappings satisfying a general contractive condition of integral type, Fixed Point Theory Appl. 2007 (2007), article ID 17301; A. Djoudi, L. Nisse, Gregus type fixed points for weakly compatible mappings, Bull. Belg. Math. Soc. 10 (2003) 369–378; A. Djoudi, A. Aliouche, Common fixed point theorems of Gregus type for weakly compatible mappings satisfying contractive conditions of integral type, J. Math. Anal. Appl. 329 (1) (2007) 31–45; P. Vijayaraju, B.E. Rhoades, R. Mohanraj, A fixed point theorem for a pair of maps satisfying a general contractive condition of integral type, Int. J. Math. Math. Sci. 15 (2005) 2359–2364; X. Zhang, Common fixed point theorems for some new generalized contractive type mappings, J. Math. Anal. Appl. 333 (2) (2007) 780–786]. We prove also a common fixed point theorem which generalizes Theorem 3.5 of [H.K. Pathak, M.S. Khan, T. Rakesh, A common fixed point theorem and its application to nonlinear integral equations, Comput. Math. Appl. 53 (2007) 961–971] and common fixed point theorems of Gregus type using a strict generalized contractive condition, a property (E.A) and a common property (E.A).ar
dc.identifier.urihttp://hdl.handle.net/123456789/12933
dc.language.isoenar
dc.publisherELSEVIERar
dc.subjectWeakly compatible mappingsar
dc.subjectCommon fixed pointar
dc.subjectMetric spacear
dc.subjectGeneralized contractive conditionar
dc.titleCommon fixed point theorems of Gregus type for weakly compatible mappings satisfying generalized contractive conditionsar
dc.typeArticlear
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