SOME FIXED POINT RESULTS IN CONVEX PARTIAL b-METRIC SPACES
By
Satyaj Tiwari1 and Lokesh Kumar Dewangan2
1,2Department of Mathematics, Shri Rawatpura Sarkar University, Raipur, Chhattisgarh-492015
Email: 1satyaj.tiwari@sruraipur.ac.in, 2srilokesh94@gmail.com
(Received: June 29, 2023; In format: September 12, 2023; Revised: April 05, 2024; Accepted: April 20, 2024)
DOI: https://doi.org/10.58250/jnanabha.2024.54203
Abstract
In this paper, firstly we introduce the concept of convex partial b-metric space by means of convex structure and establish fixed point results by using two types of contraction mapping with the help of generalized Mann’s iteration. We also present some examples which support our main result. Our results are generalized many fixed point theorems given in the literature.
2020 Mathematical Sciences Classification: 47H10, 54H25.
Keywords: convex partial b-metric space, generalized Mann’s iteration, fixed point.