Existence theorems of solutions for mixed monotone mappings in partially ordered metric spaces and applications

Reza Allahyari

Abstract


The purpose of this paper is to present some new couple fixed 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 give an existence and uniqueness for solutions of a class of nonlinear integral equations.

Keywords


Fixed point, Partially ordered set, Meir-Keeler condition, Integral equations, Mixed monotone property

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