Abstract Paper
Journal of
Computational Mathametica
| Title | : A Fixed Point Theorem for Asymptotic \phi-Contraction in Ultrametric Space |
|---|---|
| Author(s) | : 1 Pavana Devassykutty and 2 M.Pitchaimani |
| Article Information | : , 43-49 |
| Affiliation(s) | : 1,2 Ramanujan Institute for Advanced Study in Mathematics University of Madras Chepauk, Chennai-600 005, S.India. |
Abstract :
Recently, Kirk introduced an asymptotic version of Boyd-Wong fixed point theorem in metric space. In this paper, we have proved a fixed point theorem for asymptotic $ \phi- $contraction in ultrametric space setting. We assume a weaker limit condition instead of boundedness of some orbit of the self map $ T $, which was an assumption in the hypothesis of Kirk's theorem. Our result modifies the theorem given by Kirk in metric space
| Keywords | : Fixed point, asymptotic contraction, ultrametric space |
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| Document Type | : Research Paper |
| DOI | : A Fixed Point Theorem for Asymptotic \phi-Contraction in Ultrametric Space |
| Publication date | : July 11, 2018 |