Fixed Point Theorems in Complex Valued Extended b-Metric Spaces

Abstract

In this article, inspired by the concepts of extended b-metric spaces, we introduce the notion of complex valued extended b-metric spaces. Using this new idea, some fixed point theorems involving rational contractive inequalities are proved. The established results herein augment several significant work in the comparable literature.

Keywords

• extended b-metric space
• multi-valued mapping
• fixed point
• complex valued metric space
• 46s40
• 47h10
• 54h25