Generalized Common Fixed Point Theorem for Four Self Mappings in b- Metric Space

Akash Singhal¹ , Rajesh Kumar Sharma² , Anil Agrawal³

Section:Research Paper, Product Type: Journal-Paper
Vol.5 , Issue.4 , pp.218-225, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.218225

Online published on Aug 31, 2018

Copyright © Akash Singhal, Rajesh Kumar Sharma, Anil Agrawal . 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.
 

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Abstract :
In this paper we have tried to prove a common fixed point theorem of four self-mappings satisfying a generalized contractive condition in b-metric space. Our result extend several comparable pre-existing results in literature. We have also given an example that shows the applicability and validity of our result.

Key-Words / Index Term :
Fixed point; Common Fixed point; Cauchy Sequence; compatible mapping; b-Metric space

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