Results on the existence and convergence of best proximity points.
Abkar, Ali, Gabeleh, Moosa (2010)
Fixed Point Theory and Applications [electronic only]
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Displaying similar documents to “Best proximity points of cyclic -contractions on reflexive Banach spaces.”
Results on the existence and convergence of best proximity points.
Fixed points for cyclic orbital generalized contractions on complete metric spaces
Erdal Karapınar, Salvador Romaguera, Kenan Taş (2013)
Open Mathematics
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We prove a fixed point theorem for cyclic orbital generalized contractions on complete metric spaces from which we deduce, among other results, generalized cyclic versions of the celebrated Boyd and Wong fixed point theorem, and Matkowski fixed point theorem. This is done by adapting to the cyclic framework a condition of Meir-Keeler type discussed in [Jachymski J., Equivalent conditions and the Meir-Keeler type theorems, J. Math. Anal. Appl., 1995, 194(1), 293–303]. Our results generalize...
A remark on a complementarity problem in Banach space.
Nanda, Sudarsan (2004)
Journal of Applied Mathematics and Stochastic Analysis
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A fixed point theorem in Banach space.
Assad, Nadim A. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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An extension of Gregus fixed point theorem.
Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]
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Some similarity between contractions and Kannan mappings.
Kikkawa, Misako, Suzuki, Tomonari (2008)
Fixed Point Theory and Applications [electronic only]
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Fixed points for multivalued mappings and the metric completeness.
Dhompongsa, S., Yingtaweesittikul, H. (2009)
Fixed Point Theory and Applications [electronic only]
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Remarks on recent fixed point theorems.
Singh, S.L., Mishra, S.N. (2010)
Fixed Point Theory and Applications [electronic only]
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A generalization of Kannan's fixed point theorem.
Enjouji, Yusuke, Nakanishi, Masato, Suzuki, Tomonari (2009)
Fixed Point Theory and Applications [electronic only]
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Common fixed point theorems for a finite family of discontinuous and noncommutative maps.
Lin, Lai-Jiu, Wang, Sung-Yu (2011)
Fixed Point Theory and Applications [electronic only]
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On a generalization of a Greguš fixed point theorem
Ljubomir B. Ćirić (2000)
Czechoslovak Mathematical Journal
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Let be a closed convex subset of a complete convex metric space . In this paper a class of selfmappings on , which satisfy the nonexpansive type condition below, is introduced and investigated. The main result is that such mappings have a unique fixed point.