A FIXED POINT THEOREM FOR MORE GENERALIZED CONTRACTION IN PARTIAL b-METRIC SPACE
By
Satyaj Tiwari
Department of Mathematics, Shri Rawatpura Sarkar University, Raipur, Chhattisgarh, India-492001
Email: tiwarisatyaj@gmail.com
(Received: April 04, 2024; In format: April 07, 2024; Revised: March 27, 2024; Accepted: April 07, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54119
Abstract
The main aim of this work is to introduce and study the common fixed point for some new contractive mappings in partial b-metric spaces. We also establish fixed point result for contractive mappings introduced by Jain and Kaur in framework of partial b-metric spaces. We present some examples in support of our results.
2020 Mathematical Sciences Classification: Primary 47A15; Secondary 46A32, 47D20
Keywords and Phrases: Fixed point, Common fixed point, ζ- contraction, Generalized ζf - contraction, Partial b-Metric Space.