Coupled fixed point theorems for generalized Mizoguchi-Takahashi contractions with applications

Author:

Ćirić Ljubomir,Damjanović Boško,Jleli Mohamed,Samet Bessem

Abstract

Abstract We derive some new coupled fixed point theorems for nonlinear contractive maps that satisfied a generalized Mizoguchi-Takahashi's condition in the setting of ordered metric spaces. Presented theorems extends and generalize many well-known results in the literature. As an application, we give an existence and uniqueness theorem for the solution to a two-point boundary value problem. 2000 Mathematics Subject Classification: 54H25; 47H10.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Reference27 articles.

1. Nadler SB Jr: Multi-valued contraction mappings. Pacific J Math 1969, 30: 475–488.

2. Reich S: Fixed points of contractive functions. Boll Un Mat Ital 1972, 5: 26–42.

3. Mizoguchi N, Takahashi W: Fixed point theorems for multivalued mappings on complete metric spaces. J Math Anal Appl 1989, 141: 177–188.

4. Reich S: Some problems and results in fixed point theory, in Topological Methods in Nonlinear Functional Analysis (Toronto, Ont., 1982). In Contemp Math. Volume 21. American Mathematical Society, Providence, RI, USA; 1983:179–187.

5. Suzuki T: Mizoguchi-Takahashi's fixed point theorem is a real generalization of Nadler's. J Math Anal Appl 2008, 340(1):752–755.

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