Results on Common Fixed Points in Strong-Composed-Cone Metric Spaces

The current study aims to propose several generalizations of a strong b-metric space which is called Strong-composed cone metric spaces. Therefore, to illustrate the concept of these generalizations, the study provides examples of Strong-composed cone metric space, which are neither a Strong-controlled metric type space nor Strong b-metric space, also redefined with cone metric spaces. Finally, the study demonstrates the uniqueness of some fixed-point results involving some general structures of nonlinear rational contractions with applications.