2025/03/30 by Trifoi, Ioan
#FOS: Mathematics #Functional Analysis (math.FA)
paper · doi:10.48550/arxiv.2503.23309
The main purpose of this paper is to extend some fixed point results for single valued b-enriched nonexpansive mappings to the case of multivalued mappings. To this end, we introduce *-b-enriched nonexpansive mappings, as a generalization of *-nonexpansive mappings \citeAbdul Rahim Khan for which we establish an existence theorem in Hilbert space. We proved weak and strong convergence results of Krasnoselskii iteration process for b-enriched multivalued nonexpasive mappings and *-b-enriched nonexpansive mappings.