Transfinite methods in metric fixed-point theory.
Kirk, W.A. (2003)
Abstract and Applied Analysis
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Kirk, W.A. (2003)
Abstract and Applied Analysis
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Kiyoshi Iseki (1975)
Rendiconti del Seminario Matematico della Università di Padova
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Frigon, M. (2010)
Fixed Point Theory and Applications [electronic only]
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Singh, Shynam Lal, Ha, Ki Sik, Cho, Yeol Je (1989)
International Journal of Mathematics and Mathematical Sciences
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Latif, Abdul, Kutbi, Marwan A. (2009)
International Journal of Mathematics and Mathematical Sciences
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Wu, Zili (2010)
Fixed Point Theory and Applications [electronic only]
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Memudu Olatinwo (2008)
Open Mathematics
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In this paper, the concept of multi-valued weak contraction of Berinde and Berinde [8] for the Picard iteration in a complete metric space is extended to the case of multi-valued weak contraction for the Jungck iteration in a complete b-metric space. While our main results generalize the recent results of Berinde and Berinde [8], they also extend, improve and unify several classical results pertainning to single and multi-valued contractive mappings in the fixed point theory. Our results...
Marzouki, B., Mbarki, A.B. (2002)
Southwest Journal of Pure and Applied Mathematics [electronic only]
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Amini-Harandi, A., Farajzadeh, A.P., O'Regan, D., Agarwal, R.P. (2008)
Fixed Point Theory and Applications [electronic only]
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Berthold Schweizer, Howard Sherwood, Robert M. Tardiff (1988)
Stochastica
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The notion of a contraction mapping for a probabilistic metric space recently introduced by T. L. Hicks is compared with the notion previously introduced by V. L. Sehgal and A. T. Bharucha-Reid. By means of appropriate examples, it is shown that these two notions are independent. It is further shown that every Hick's contraction on a PM space (S,F,t) is an ordinary metric contraction with respect to a naturally defined metric on that space; and it is again pointed out that, in Menger...
Hicks, Troy, Rhoades, B.E. (1992)
International Journal of Mathematics and Mathematical Sciences
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Kaneko, Hideaki, Sessa, Salvatore (1989)
International Journal of Mathematics and Mathematical Sciences
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