Fixed point uniqueness of generalized (\psi , \varphi)-weak contractions in partially ordered metric spaces under suitable constraints
Publish Year: 1403
Type: Journal paper
Language: English
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JR_IJNAA-15-2_021
Index date: 3 February 2024
Fixed point uniqueness of generalized (\psi , \varphi)-weak contractions in partially ordered metric spaces under suitable constraints 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.
Fixed point uniqueness of generalized (\psi , \varphi)-weak contractions in partially ordered metric spaces under suitable constraints Keywords:
Fixed point uniqueness of generalized (\psi , \varphi)-weak contractions in partially ordered metric spaces under suitable constraints authors
Gholamreza Heidary Joonaghany
Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
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