Triple-composed metric-like spaces and the related Proinov-type fixed point theorems with application

This work introduces a new concept called triple-composed metric-like space. We present some examples showing that triple-composed metric-like space is the generalization of rectangular metric-like space, rectangular b-metric-like space, and triple-composed metric space. We also define Proinov-type contractions in the framework of triple-composed metric-like space and prove the related some fixed points. Furthermore, we discuss the solution of nonlinear integral equations as an application of our results.