A COMPATIBLE TYPE MAPPING FOR \alpha-SERIES QUADRUPLED FIXED POINT THEOREM IN PARTIALLY ORDERED METRIC SPACES

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 \alpha-series for sequence of operators on quadrupled fixed point in partially ordered mixed monotone metric spaces as an improvement to existing result in literature.