Application of fixed point theorem to best simultaneous approximation in convex metric spaces
Hemant Kumar Nashine (2010)
Kragujevac Journal of Mathematics
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Hemant Kumar Nashine (2010)
Kragujevac Journal of Mathematics
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Narang, T.D., Chandok, Sumit (2010)
The Journal of Nonlinear Sciences and its Applications
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Shigeru Itoh (1979)
Fundamenta Mathematicae
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Rafiq, Arif, Zafar, Sundus (2006)
General Mathematics
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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
Akbar Azam, Muhammad Shakeel (2008)
Matematički Vesnik
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Saluja, Gurucharan Singh (2008)
The Journal of Nonlinear Sciences and its Applications
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Zhao, Jing, He, Songnian (2011)
Analele Ştiinţifice ale Universităţii “Ovidius" Constanţa. Seria: Matematică
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Su, Yongfu, Qin, Xiaolong, Shang, Meijuan (2008)
Acta Mathematica Universitatis Comenianae. New Series
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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.