A common fixed-point theorem for semi-compatible mappings in a complete metric space of an implicit relation via inverse C-class functions

The aim of the paper is to obtain a common fixed-point theorem in a complete metric space through inverse C-class functions for six self-maps in. The result extends previous work by incorporating semi-compatible and reciprocally continuous pairs of mappings, along with commutatively conditions. A generalized contraction condition involving an implicit relation ensures convergence to a unique common fixed point. The results generalizes and improves upon the main results, contributing to the broader framework of fixed-point theory.