An extension of Gregus fixed point theorem.
Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]
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Olaleru, J.O., Akewe, H. (2007)
Fixed Point Theory and Applications [electronic only]
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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.
Ovidiu Popescu (2009)
Open Mathematics
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In this paper we prove two fixed point theorems for generalized contractions with constants in complete metric space, which are generalizations of very recent results of Kikkawa and Suzuki.
Kikkawa, Misako, Suzuki, Tomonari (2008)
Fixed Point Theory and Applications [electronic only]
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Ljubomir Ćirić, Nikola Jotić (1998)
Matematički Vesnik
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Assad, Nadim A. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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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.
Singh, Maibam Ranjit (1990)
International Journal of Mathematics and Mathematical Sciences
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