Abstract
The purpose of this article is to present some fixed point theorems for (ψ, φ)-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main result, we give an existence theorem for the solution of a periodic boundary value problem.
Highlights
Introduction and preliminariesIt is well known that the Banach Contraction Principle has been generalized in various directions
Alber and Guerre-Delabrere [1] introduced the concept of weak contractions in Hilbert spaces and proved the corresponding fixed point result
Contractive mappings have been used in a number of subsequent articles to establish various fixed point and common fixed point theorems
Summary
Introduction and preliminariesIt is well known that the Banach Contraction Principle has been generalized in various directions. In [28,29,30,31,32], it is proved some fixed point theorems for a mixed monotone mapping in a metric space endowed with partial order and the authors apply their results to problems of existence and uniqueness of solutions for some boundary value problems [26,32].
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