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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Latif, Abdul, Husain, Taqdir, Beg, Ismat (1994)
International Journal of Mathematics and Mathematical Sciences
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Khan, Abdul Rahim (2005)
Journal of Applied Mathematics and Stochastic Analysis
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Jean-Paul Penot (1979)
Mémoires de la Société Mathématique de France
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T. D. Narang (2014)
Annales UMCS, Mathematica
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A mapping T from a topological space X to a topological space Y is said to be compact if T(X) is contained in a compact subset of Y . The aim of this paper is to prove the existence of fixed points of a nonexpansive compact self-mapping defined on a closed subset having a contractive jointly continuous family when the underlying space is a metric space. The proved result generalizes and extends several known results on the subject
S. Naimpally, K. Singh, J. Whitfield (1984)
Fundamenta Mathematicae
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Shahzad, Naseer, Lone, Amjad (2005)
Fixed Point Theory and Applications [electronic only]
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Husain, T., Latif, Abdul (1991)
International Journal of Mathematics and Mathematical Sciences
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P. N. Dowling, C. J. Lennard, B. Turett (2003)
Studia Mathematica
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We give a basic sequence characterization of relative weak compactness in c₀ and we construct new examples of closed, bounded, convex subsets of c₀ failing the fixed point property for nonexpansive self-maps. Combining these results, we derive the following characterization of weak compactness for closed, bounded, convex subsets C of c₀: such a C is weakly compact if and only if all of its closed, convex, nonempty subsets have the fixed point property for nonexpansive mappings. ...
Shigeru Itoh (1979)
Fundamenta Mathematicae
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