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

Year: 2026

Type: article

Abstract: 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.

Source: Mathematics

DOI: 10.3390/math14224121

Authors: Balaanandhan Radhakrishnan, Kandhasamy Tamilvanan, Merve Ersoy, Faruk Ozger

Institutions: Dayananda Sagar Academy of Technology and Management, Saveetha University, Istanbul Topkapi University, Iğdır Üniversitesi

Language: English

Topic: Fixed Point Theorems Analysis

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $3,137

OpenAlex ID: W7225753015

FWCI:

Cites: 18

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