Solution to Integral Equations and New Coincidence Point Theorems in Partially Ordered Ultrametric Spaces via p-Adic Distance

This paper investigates coincidence point theorems in partially ordered ultrametric spaces (POUMSs) using the concept of p-adic distance. The p-adic distance provides an alternative method for measuring distances in these spaces. This research explores the existence and uniqueness of coincidence points in POUMSs under appropriate conditions. The findings contribute to the theoretical foundations of Fixed point theory and enhance the understanding of coincidence phenomena in POUMSs.