Coupled coincidence point results for \((\psi, \alpha, \beta)\)-weak contractions in partially ordered metric spaces
Summary: Coupled coincidence points of mappings satisfying a nonlinear contractive condition in the framework of partially ordered metric spaces are obtained. Our results extend the results of \textit{J. Harjani, B. López} and \textit{K. Sadarangani} [Nonlinear Anal., Theory Methods Appl. Ser. A, Theory Methods 74, No. 5, 1749-1760 (2011; Zbl 1218.54040)]. Moreover, an example of the main result is given. Finally, some coupled coincidence point results for mappings satisfying some contraction conditions of integral type in partially ordered complete metric spaces are deduced.
scientific article; zbMATH DE number 6106227
scientific article