American Research Journal of Mathematics         cover
Open Access

American Research Journal of Mathematics

ISSN (Online): 2378-704X

DOI: 10.46568/arjm

Research Article Vol. 1, Issue 1 2019 Open Access

A Note on – Common Fixed Points of Faintly Compatible Mappings

Mintu Lal Saha1
Saurabh Manro2

1 Department of Mathematics , Handique Girls’ College, Guwahati 781001,Assam, India.
2 School of Mathematics and Computer Applications , Thapar University, Patiala (Punjab), India
Abstract
In this paper, we have established some common fixed point theorems for a pair of faintly compatible 
mappings by removing the containments and weakening the continuity conditions from the results due to Bisht 
and Shahzad [2]. We have used a weaker notion of reciprocal continuity and thereby obtaining a proper 
generalization of these results.