Halpern-Tseng Type Iterative Technique for Monotone Inclusion Problem and Hierarchical Fixed Point Problem in Banach Space

The Halpern-Tseng type iterative technique is proposed and investigated in this study for finding the common element of the solution sets of the monotone inclusion problem and hierarchical fixed point problem of two relatively nonexpansive mappings in real Banach space. We show in this paper that, under certain reasonable assumptions, the sequence provided by the above-mentioned technique converges strongly. We also discuss example to support and validate the above-mentioned technique and convergence outcome. This study’s findings philosophize and validate certain recent and well-known findings in the literature.