Fixed point theorems under F-contraction in ultrametric space

_ Giniswamy, C. Jeyanthi, P. G. Maheshwari

Abstract

In this paper, we establish some results on coincidence and common fixed points for a single-valued map, a pair of single-valued maps and of single-valued map with a multi-valued map in an Ultrametric space which satisfy F-contraction. Our theorems generalize and extent the theorems of Mishra and Pant [Generalization of some fixed point theorems in ultrametric spaces, Adv. Fixed Point Theory, 4(1)(2014), 41- 47], thereby generalizes some known results in the existing literature.
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How to Cite this Article

_ Giniswamy, C. Jeyanthi, P. G. Maheshwari, Fixed point theorems under F-contraction in ultrametric space, Adv. Fixed Point Theory, 7 (2017), 144-154

Copyright © 2017 _ Giniswamy, C. Jeyanthi, P. G. Maheshwari. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.