Higher-Order Fixed Point Theory in Metric and Multiplicative Metric Space Under r-Compatibility of Mappings and Related Concepts

We consider the relationship between when the r-times composition of two maps commute and the concepts of compatible mappings of type (A) faintly compatible mappings compatible mappings of type (R) compatible mappings of type (P) and compatible mappings of type (K) respectively and obtain some higher-order fixed point theorems in the sense of [Clement Ampadu Fixed Point Theory for Higher-Order Mappings. ISBN: 5800118959925 lulu.com 2016]