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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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
Saeidi, Shahram (2010)
Fixed Point Theory and Applications [electronic only]
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A. Anthony Eldred, W. A. Kirk, P. Veeramani (2005)
Studia Mathematica
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The notion of proximal normal structure is introduced and used to study mappings that are "relatively nonexpansive" in the sense that they are defined on the union of two subsets A and B of a Banach space X and satisfy ∥ Tx-Ty∥ ≤ ∥ x-y∥ for all x ∈ A, y ∈ B. It is shown that if A and B are weakly compact and convex, and if the pair (A,B) has proximal normal structure, then a relatively nonexpansive mapping T: A ∪ B → A ∪ B satisfying (i) T(A) ⊆ B and T(B) ⊆ A, has a proximal point in...
Kaewcharoen, A., Kirk, W.A. (2006)
Fixed Point Theory and Applications [electronic only]
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K. Goebel, T. Kuczumow (1979)
Colloquium Mathematicae
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S. Naimpally, K. Singh, J. Whitfield (1984)
Fundamenta Mathematicae
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Latif, Abdul, Husain, Taqdir, Beg, Ismat (1994)
International Journal of Mathematics and Mathematical Sciences
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Ghosh, M.K., Debnath, L. (1997)
International Journal of Mathematics and Mathematical Sciences
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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.
Vijayaraju, P. (1994)
International Journal of Mathematics and Mathematical Sciences
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