Strong Convergence for Hybrid Proximal Point Algorithm in Reflexive Banach Spaces

In this paper, we consider a hybrid projection algorithm for a countable family of mappings of type (P) in Banach spaces. We prove that the generated sequence by the algorithm converges strongly to the common fixed point of the mappings. Furthermore, we apply the result for resolvent of maximal monotone operator for finding a zero of it. The obtained results extend some results in this context.