What type of study is this?

September 10, 2025

Integral-type contractions and weakly compatible mappings in 2-metric spaces

Key Points

The study establishes a unique common fixed point for mappings under integral-type contraction conditions.
It demonstrates how broadening compatibility concepts can yield significant mathematical insights and outcomes.
The focus lies on using weakly compatible mappings within the framework of 2-metric spaces.
Rational inequality constraints play a key role in determining fixed points for self-mappings in this context.

Abstract

This research explores f.p theorems by utilizing weakly compatible mappings in 2-m.s, focusing on contractive conditions of the integral type. By broadening the notion of compatibility, the study demonstrates the unique common fixed point for four self-mappings that meet certain rational inequality constraints.

Bookmark

Cite This Study

Hemavathy et al. (Wed,) studied this question.

synapsesocial.com/papers/68c1d97d54b1d3bfb60fb265 https://doi.org/https://doi.org/10.47974/jim-2145