Extended b-metric spaces and the related approximate fixed point results

Authors

  • Theivaraman R
  • Srinivasan P. S

DOI:

https://doi.org/10.23755/rm.v49i0.1431

Keywords:

fixed point, b-metric space, approximate fixed point, rational contraction

Abstract

In this paper, we investigate some approximate fixed point results in extended b-metric spaces using several contraction mappings such as the Mohseni-Saheli contraction, the B-contraction, and their consequences. Additionally, we prove some ϵ-fixed point results by using rational type contraction mappings, which were discussed mainly in Dass and Gupta [1975] and Jaggi [1977]. Also, a few examples are included to illustrate the results. Finally, we discuss some applications that support our main results in the field of applied mathematics

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Published

2023-11-19

Issue

Vol. 49 (2023): SPECIAL ISSUE: NEW DEVELOPMENTS IN MATHEMATICS AND COMPUTER SCIENCE

Section

Volume 49-2023

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