International Journal of Nonlinear Analysis and Applications

Fixed point uniqueness of generalized $(\psi , \varphi)$-weak contractions in partially ordered metric spaces under suitable constraints

Document Type : Research Paper

Author

Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran

Abstract

In this paper, by providing an example, we show that the condition which produced by Radenovi'{c} and Kadelburg in [Generalized weak contractions in partially ordered metric spaces, Comput. Math. Appl. 60 (2010) pp. 1776-1783] is not sufficient for the uniqueness of the fixed point. Furthermore, a new sufficient condition is introduced for the uniqueness of the fixed point. Some suitable examples are furnished to demonstrate the validity of the hypotheses of our results.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 2
February 2024
Pages 255-262
  • Receive Date: 12 November 2021
  • Revise Date: 04 January 2022
  • Accept Date: 13 January 2022