Existence Theorems of Solutions for Mixed Monotone Mappings in Partially Ordered Metric Spaces and Applications

The purpose of this paper is to present some new couple xed point theorems for multivalued mappings which satisfy generalized weak contraction in ordered metric spaces. The results of this paper are generalizations of the main results of [3, 5, 9]. As an application, we show existence and uniqueness of solutions of a class of nonlinear integral equations.