A new fixed-point theorem for contractive mappings.
Ćirić, Ljubomir B. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Ćirić, Ljubomir B. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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Popa, V., Pathak, H.K. (1997)
Matematichki Vesnik
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Akkouchi, Mohamed (2010)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Ljubomir B. Ćirić (1999)
Czechoslovak Mathematical Journal
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In this paper a new class of self-mappings on metric spaces, which satisfy the nonexpensive type condition (3) below is introduced and investigated. The main result is that such mappings have a unique fixed point. Also, a remetrization theorem, which is converse to Banach contraction principle is given.
Assad, Nadim A. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Chang, Shihsen, Peng, Yongcheng (1993)
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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Khan, M.S. (1981)
Publications de l'Institut Mathématique. Nouvelle Série
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R. A. Rashwan, Magdy A. Ahmed (2002)
Archivum Mathematicum
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This work is considered as a continuation of [19,20,24]. The concepts of -compatibility and sub-compatibility of Li-Shan [19, 20] between a set-valued mapping and a single-valued mapping are used to establish some common fixed point theorems of Greguš type under a -type contraction on convex metric spaces. Extensions of known results, especially theorems by Fisher and Sessa [11] (Theorem B below) and Jungck [16] are thereby obtained. An example is given to support our extension. ...
Cho, Y.J., Fisher, B., Genga, G.S. (1997)
International Journal of Mathematics and Mathematical Sciences
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