Fixed point theorem for expansion mappings of rational type on a implicit relation
Author:
*A.S. SALUJA, **ALKESH KUMAR DHAKDE and ***DEVKRISHNA MAGARDE
Affiliation:
Keyword:
Common fixed points, expansion mappings, Complete metric space, weak compatible mappings , implicit relations
Issue Date:
April 2013
Abstract:
In this note a fixed point theorems on expansion mappings is established in a complete metric space under certain conditions. Further a common fixed point theorem for pair of weakly compatible expansion mappings is established. In this theorem the completeness of space is replaced with a set of four alternative conditions for functions satisfying implicit relations. These theorems extended and improve results of S.M. Kang2, M.A. Khan et al.3, B.E. Rhoades7 and T.Taniguchi8.
Pages:
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
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*A.S. SALUJA, **ALKESH KUMAR DHAKDE and ***DEVKRISHNA MAGARDE, "Fixed point theorem for expansion mappings of rational type on a implicit relation", Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016Copy the following to cite this URL:
*A.S. SALUJA, **ALKESH KUMAR DHAKDE and ***DEVKRISHNA MAGARDE, "Fixed point theorem for expansion mappings of rational type on a implicit relation", Journal of Ultra Scientist of Physical Sciences, Volume 25, Issue 1, Page Number , 2016Available from: https://www.ultrascientist.org/paper/266/
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