Fixed point uniqueness of generalized $(\psi , \varphi)$-weak contractions in partially ordered metric spaces under suitable constraints
نویسندگان
1 Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
doi
10.22075/ijnaa.2022.25883.3151چکیده
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.
