Approximate Fixed Point Results for Rational-type Contraction Mappings

  • Kamiludeen Rotimi Tijani Department of Mathematical Sciences, Osun State University, Osogbo, Osun state, Nigeria
  • Saheed Adewale Olayemi Department of Mathematics, Obafemi Awolowo University, Ile-Ife, 220005, Nigeria
DOI: https://doi.org/10.6084/m9.figshare.15047445

Abstract

In the paper [Tijs, S., Torre, A. and Branzei, P.: Approximate fixed point theorems, Libertas Mathematica, 23(2003); 35 􀀀 39(2003)], the authors studied some fixed point theorems by considering weakening of the conditions in the fixed point theorems of Brouwer, Kakutani and Banach which still guarantee the existence of approximate fixed points. Also, in the paper [Berinde, M.: Approximate fixed point theorems, Studia Univ. BABES-BOLYAL, MATHEMATICA, Volume L1, Number 1; pp: 11 􀀀 23(2006):], the author gave some qualitative and quantitative approximate fixed point results on metric spaces by introducing two Lemmas, and
using some contactive-type operators used by Tijs etal:. The aim of this paper is to establish qualitative and quantitative approximate fixed point results
involving rational-type contraction mappings in metric spaces (not necessarily complete). Our results are extensions of several others in the literature. Some examples are provided to illustrate our results.

Published
2021-07-26
How to Cite
Tijani, K. R., & Olayemi, S. A. (2021). Approximate Fixed Point Results for Rational-type Contraction Mappings. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 7(1), 76 - 86. https://doi.org/10.6084/m9.figshare.15047445
Issue
Vol 7 No 1 (2021)
Section
Articles

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