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.