A common fixed point theorem for weakly compatible maps

Author:
V. H. BADSHAH and VARSHA JOSHI*
Affiliation:

School of Studies in Mathematics, vikram Univeersity, Ujjain MP India

*Department of Mathematics, Star Academy of Technology and Management MP India

Email:- math.varsha@gmail.com

Keyword:
 Compatible Maps ;Weakly Compatible Maps; Reciprocal Continuity; Contractive Conditions and Common Fixed Points. AMS Subject classification (2000) ; primary 54H25, secondary 47H10 .
Issue Date:
April 2013
Abstract:

 In a paper of Pant10 the first theorem guaranteeing the existence of a common fixed point even when all the mappings may be discontinuous and some of the mappings may not be satisfying the compatibility . In the present paper we drop reciprocal continuity and relax compatibility to weak compatibility from the theorem of Pant10. Our theorem generalizes a multitude of common fixed point theorems.

Pages:
221-226
ISSN:
2319-8044 (Online) - 2231-346X (Print)
Source:
DOI:
jusps-A
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Copy the following to cite this article:

V. H. BADSHAH and VARSHA JOSHI* , "A common fixed point theorem for weakly compatible maps ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 221-226, 2016

Copy the following to cite this URL:

V. H. BADSHAH and VARSHA JOSHI* , "A common fixed point theorem for weakly compatible maps ", Journal of Ultra Scientist of Physical Sciences, Volume 23, Issue 1, Page Number 221-226, 2016

Available from: https://www.ultrascientist.org/paper/701/

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