Triple‐Composed Metric Spaces and Related Fixed Point Results With Application

Abstract

This paper introduces the concept of triple‐composed metric space as a new generalization of double‐composed metric space and rectangular b‐metric space. We also prove fixed point results of nonlinear FT‐contractions in such spaces, which is an improvement and extension of previous results concerning F‐contraction. Furthermore, we discuss the application to nonlinear integral equations.