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arXiv · 2503.23309

Fixed points theorems for $b$-enriched multivalued nonexpansive mappings and *-$b$-enriched nonexpansive mappings

Ioan Trifoi
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Abstract

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 \cite{Abdul 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.

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Ioan Trifoi. 2025-03-30. Fixed points theorems for $b$-enriched multivalued nonexpansive mappings and *-$b$-enriched nonexpansive mappings. https://arxiv.org/abs/2503.23309

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