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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Abkar, Ali, Gabeleh, Moosa (2010)
Fixed Point Theory and Applications [electronic only]
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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...
Nanda, Sudarsan (2004)
Journal of Applied Mathematics and Stochastic Analysis
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Assad, Nadim A. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]
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Kikkawa, Misako, Suzuki, Tomonari (2008)
Fixed Point Theory and Applications [electronic only]
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Dhompongsa, S., Yingtaweesittikul, H. (2009)
Fixed Point Theory and Applications [electronic only]
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Singh, S.L., Mishra, S.N. (2010)
Fixed Point Theory and Applications [electronic only]
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Enjouji, Yusuke, Nakanishi, Masato, Suzuki, Tomonari (2009)
Fixed Point Theory and Applications [electronic only]
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Lin, Lai-Jiu, Wang, Sung-Yu (2011)
Fixed Point Theory and Applications [electronic only]
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