Approximation of solutions of split equality fixed point problems with applications

In this paper, we introduce and study an inertial algorithm for approximating solutions of split equality fixed point problem (SEFPP), involving quasi-phi-nonexpansive mappings in uniformly smooth 2-uniformly convex real Banach spaces establish a strong convergence theorem. We give applications our result to (SEP), variational inclusion (SEVIP) equilibrium (SEEP). Our results extend, generalize unify several recent inertial-type algorithms SEP SEVIP. Moreover, the best knowledge, propose method which does not require any compactness type assumption on operators is first SEFPP, SEP, SEVIP SEEP spaces.