COMMON FIXED POINT THEOREMS FOR GENERALIZED MULTI-VALUED CONTRACTIONS IN b-METRIC AND DISLOCATED b-METRIC SPACES


By

Kuldeep Joshi 

Department of Mathematics, D. S. B. Campus, Kumaun University, Nainital-263002, Uttarakhand, India 

Email: kuldeep joshi68@yahoo.com 

(Received : July 18, 2022; Revised : August 11, 2022; Accepted : August 14, 2022) 


DOI: https://doi.org/10.58250/jnanabha.2022.52205 



Abstract

In this paper, we extend the contraction to find some common fixed point theorems of multivalued contraction in b-metric and dislocated b-metric spaces. Also, we give some examples to vindicate our results. Moreover, the obtained results extend and improve some well known results of the literature.


2020 Mathematical Sciences Classification: 47H10, 54H25.

Keywords and Phrases: Multi-valued mapping, common fixed point, b-metric space, dislocated b-metric space


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