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

Fixexd point theory and applications

¹  Boš¹  irić²  Ljubomir Ć³ 

[1] Department of Mathematics, King Saud University, Riyadh, Saudi Arabia;Faculty of Agriculture, University in Belgrade, Belgrade, Serbia;Faculty of Mechanical Engineering, University in Belgrade, Belgrade, Serbia

关键词: coupled fixed point;    ordered metric space;    mixed monotone mapping;    generalized Mizoguchi-Takahashi's contraction;    two-point boundary value problem;   

DOI  :  10.1186/1687-1812-2012-51

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY