Sehgal–Guseman-Type Fixed Point Theorem in <i>b</i>-Rectangular Metric Spaces

Abstract

In this paper, we prove a Sehgal–Guseman-type fixed point theorem in b-rectangular metric spaces which provides a complete solution to an open problem raised by Zoran D. Mitrović (A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space). The result presented in the paper generalizes and unifies some results in fixed point theory.

Keywords

• fixed point
• <i>b</i>-metric space
• rectangular metric space
• <i>b</i>-rectangular metric space