Some Fixed Point Results on Compact Metric Spaces
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Some Fixed Point Results on Compact Metric Spaces
Authors:
Swati Ankush Chavan1, Varsha D. Borgaonkar2
P.G. Department of Mathematics, N.E.S. Science College, Nanded, India - 431 602
P.G. Department of Mathematics, N.E.S. Science College, Nanded, India - 431 602
Abstract: This paper aims to study some generalized fixed-point results in a compact metric space. It mainly focuses on the existence and uniqueness of fixed point of self-mappings on a metric space and its generalizations. This paper uses iterative techniques to show the existence of a unique fixed point for a self-mapping satisfying certain generalized contractive conditions.
Keywords: Compact Space, Metric Space Contraction, Fixed Point, Convergence sequence.
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