RGNNA Publishing Group.Mathematical Analysis and its Contemporary Applications2716-98983220210601Some coupled coincidence point results in partially ordered metric spaces405468283110.30495/maca.2021.1929674.1010ENLayaFadakarDepartment of Mathematics, Ardabil Branch, Islamic Azad
University, Ardabil, IranHuseyinIşıkDepartment of Engineering Science, Bandırma Onyedi Eylul University, 10200, Bandırma, Balıkesir, TurkeyShirinTavakoliDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, IranArezoMardzadDepartment of Mathematics, Ardabil Branch, Islamic Azad University, Ardabil, IranJournal Article20210504In 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<br /> presented herein.https://www.macajournal.com/article_682831_bb4ebcae2b6bb66b076bb041df7b105d.pdf