Downloads: 1 | Views: 738 | Weekly Hits: ⮙1 | Monthly Hits: ⮙1
Survey Paper | Mathematics | India | Volume 12 Issue 3, March 2023 | Popularity: 4.8 / 10
A Literature Survey on Fixed-Point Results in Metric and Partial Order Metric Spaces
Maitreyee Dey
Abstract: The aim of this paper is to investigate some fixed- point results in metric space and partial order metric spaces. Fixed-point results for different types of contractive conditions are established, which generalize some existing fixed-point theorems.Partial b-metric spaces are characterized by a modified triangular inequality and that the self-distance of any point of space may notbe zero and the symmetry is preserved. The spaces with a symmetric property have interesting topological properties. Our results some fixed-point results in the context of metric spaces and partial order metric spaces can be deduced.
Keywords: Fixed-point theorem; Metric Space; Partial order metric space; Contraction mapping; Banach Space
Edition: Volume 12 Issue 3, March 2023
Pages: 1433 - 1435
DOI: https://www.doi.org/10.21275/SR23322214258
Please Disable the Pop-Up Blocker of Web Browser
Verification Code will appear in 2 Seconds ... Wait