Approximating Fixed Points for Enriched Suzuki Generalized Nonexpansive Multivalued Mappings in Banach Spaces
Imo Kalu Agwu, Naeem Saleem, Umar Ishtiaq, Donatus Ikechi Igbokwe · Research Square · 2022
Abstract In this manuscript, we establish a novel class of nonlinear mappings called β-enriched Suzuki generalized multivalued non-expansive mappings and prove a new existence of common fixed points for a commuting pair comprising an enriched single-valued and an enriched multivalued mapping both satisfying condition (C) in the setup of a uniformly convex Banach space. Further, weak and strong convergence results are obtained for an infinite family of this new class of mappings in the framework of uniformly convex Banach spaces. A nontrivial numerical example is presented to validate the main results of this paper. Our results extend, improve and generalize many well known results currently in literature.