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

	Fixed point uniqueness of generalized $(\psi , \varphi)$-weak contractions in partially ordered metric spaces under suitable constraints
International Journal of Nonlinear Analysis and Applications
مقاله 21، دوره 15، شماره 2، اردیبهشت 2024، صفحه 255-262 اصل مقاله (359.95 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2022.25883.3151
نویسنده
Gholamreza Heidary Joonaghany^*
Department of Mathematics, Arak Branch, Islamic Azad University, Arak, Iran
چکیده
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.
کلیدواژه‌ها
Fixed point؛ Generalized $(\psi؛ \phi)$-Weak Contraction؛ Ordered metric space
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