Some Fixed Point Results in <i>E</i>-Metric Spaces and an Application

Abstract

The purpose of this paper is to study several fixed point problems in E-metric spaces. Mainly, we show the existence and uniqueness of fixed points for two contractive mappings, including Ćirić type contraction and α-ψ type contraction in E-metric spaces. Furthermore, we provide examples to support the accuracy of our results and present an application of our solution to a class of differential equations.

Keywords

• <i>E</i>-metric space
• Ćirić type contraction
• α-ψ type contraction
• <i>e</i>-Cauchy sequence
• fixed point