Approximating Fixed Points for Enriched Suzuki Generalized Nonexpansive Multivalued Mappings in Banach Spaces

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.

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