Exploring Double Composed Partial Metric Spaces: A Novel Approach to Fixed Point Theorems

This paper innovatively extends partial metric spaces to introduce double composed partial metric space (DCPMS). Unlike traditional metrics, DCPMS replaces the triangle inequality with a nuanced form, integrating control functions into the metric. Building upon Ayoob et al.’s work, this novel generalization focuses on establishing fixed point theorems for DCPMS, contributing to the evolving landscape of mathematical analysis in this unique domain.