A compatible type mapping for series α quadrupled fixed point theorem in partially ordered metric spaces

Abstract

This study extends the compatibility and weakly reciprocally continuity theory for a quadrivariate mapping T and a self-mapping g from tripled fixed point. Furthermore, it establishes quadruple coincidence, and fixed point theorems by applying the concept of an α-series for sequence of operators on quadrupled fixed point in partially ordered mixed monotone metric spaces as an improvement to existing result in literature.