A common fixed point theorem for weakly compatible maps

AUTHOR AND
AFFILIATION

V. H. BADSHAH and VARSHA JOSHI*
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

KEYWORDS:

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

Pages:

221-226

ISSN:

2319-8044 (Online) – 2231-346X (Print)

Source:

Vol.23 – No.1

PDF

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DOI:

jusps-A

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.

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: http://www.ultrascientist.org/paper/701/


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.