## Coupled coincidence point results for $$(\psi, \alpha, \beta)$$-weak contractions in partially ordered metric spaces.(English)Zbl 1251.54056

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 J. Harjani, B. López and 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.

### MSC:

 54H25 Fixed-point and coincidence theorems (topological aspects) 47H10 Fixed-point theorems

Zbl 1218.54040
Full Text:

### References:

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