On elliptic valued b-metric spaces and some new fixed point results with an application

Abstract

In this paper, we introduce the concept of elliptic-valued b-metric spaces, extending the notions of elliptic-valued metric spaces and complex-valued metric spaces. We present several fixed-point results that involve rational and product terms within this novel space framework. To support our main findings, we offer numerical examples. Additionally, we demonstrate an application of Urysohn integral equations.

Keywords

• α-admissible mapping
• rational product terms
• elliptic-valued b-metric space
• simulation function
• caristi-type fixed point
• urysohn integral equation