Fixed point results for generalized alpha-psi-contractions in metric-like spaces and applications

Abstract

In this article, we introduce the concept of generalized $\alpha\text{-}\psi$-contraction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fixed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered.

Keywords

• Metric-like
• alpha-admissible mappings
• fixed point