## Coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces.(English)Zbl 1216.54021

Summary: We establish two coupled fixed point theorems for multi-valued nonlinear contraction mappings in partially ordered metric spaces. The theorems presented extend some results due to Lj. Ćirić [Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 71, No. 7–8, A, 2716–2723 (2009; Zbl 1179.54053)]. An example is given to illustrate the usability of our results.

### MSC:

 54H25 Fixed-point and coincidence theorems (topological aspects) 54E40 Special maps on metric spaces 54F05 Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces 54C60 Set-valued maps in general topology

Zbl 1179.54053
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### References:

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