Coupled Coincidence Results for $\textbf{G}$-Compatible functions

Document Type : Original Article

Authors
Sirous Moradi 1
Ebrahim Analouei Adegani 2
1 Department of Mathematics, Faculty of Sciences, Lorestan University, Khorramabad, 68151-4-4316, Iran
2 Department of Mathematics, Faculty of Science, Arak University, Arak, Iran.
10.22034/maco.5.1.10
Abstract
Introducing some coupled coincidence points for a mixed monotone operator in partially ordered complete $\textbf{G}$-metric spaces is the purpose of this paper.
We also demonstrate the existence and uniqueness of coupled common fixed points. The main results of this paper improve the result given by Nashine and Shatanawi [Computers and Mathematics with Applications 62 (2011) 1984-1993]. An example is given to support the usability of our results.

Keywords

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