Common fixed points for multimaps in metric spaces.
Espínola, Rafa, Hussain, Nawab (2010)
Fixed Point Theory and Applications [electronic only]
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Espínola, Rafa, Hussain, Nawab (2010)
Fixed Point Theory and Applications [electronic only]
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Ismat Beg, Mujahid Abbas (2005)
Archivum Mathematicum
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We obtain necessary conditions for the existence of fixed point and approximate fixed point of nonexpansive and quasi nonexpansive maps defined on a compact convex subset of a uniformly convex complete metric space. We obtain results on best approximation as a fixed point in a strictly convex metric space.
Shigeru Itoh (1979)
Fundamenta Mathematicae
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Ismat Beg (2003)
Czechoslovak Mathematical Journal
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We obtain necessary conditions for convergence of the Cauchy Picard sequence of iterations for Tricomi mappings defined on a uniformly convex linear complete metric space.
Somashekhar Naimpally, Kanhaya Lal Singh, J. H. M. Whitfield (1983)
Commentationes Mathematicae Universitatis Carolinae
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Kaewcharoen, A., Panyanak, B. (2008)
International Journal of Mathematics and Mathematical Sciences
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Al-Thagafi, M.A. (1995)
International Journal of Mathematics and Mathematical Sciences
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Inese Bula (2005)
Banach Center Publications
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The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.