Some fixed point theorems for tricyclic contractions in dislocated quasi-b-metric spaces

Abstract

This paper centers on introducing dislocated quasi-b-metric spaces and proposing the concepts of Geraghty-type dqb-tricyclic Banach contraction and dqb-tricyclic-Kannan mapping. These innovations lead to successfully proving the existence of fixed-point theorems within these spaces. In doing so, the main theorem presented in this work extends and solidifies previous discoveries from recent literature into a unified framework.