Some coupled coincidence point results in partially ordered metric spaces

Mathematical Analysis and its Contemporary Applications

دوره 3، شماره 2، شهریور 2021، صفحه 40-54   

نوع مقاله: Original Article

شناسه دیجیتال (DOI): 10.30495/maca.2021.1929674.1010

نویسندگان

Laya Fadakar¹؛ Huseyin Işık^{* 2}؛ Shirin Tavakoli³؛ Arezo Mardzad³

¹Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

²Department of Engineering Science, Bandırma Onyedi Eylul University, 10200, Bandırma, Balıkesir, Turkey

³Department of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, Iran

چکیده

In this paper, we introduce the notion of partial-compatibility of mappings in an ordered partial metric space and use this notion to establish coupled coincidence point theorems for $\phi$-mixed monotone mappings satisfying a nonlinear contraction condition. Our consequences is an extension of the results of Shatanawi et al. [W. Shatanawi, B. Samet and M. Abbas, \textit{Coupled fixed point theorems for mixed monotone mappings in ordered partial metric spaces}, Math. Comp. Model., 55(3-4) (2012), 680-687]. We also provide an example to illustrate the results
presented herein.

کلیدواژه‌ها

Coupled coincidence point؛ Partially ordered set؛ Partial metric space؛ Mixed monotone property؛ Compatible mapping