Fixed points theorems for $b$-enriched multivalued nonexpansive mappings and *-$b$-enriched nonexpansive mappings
Fuente:
arXiv
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866913766429425664 |
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| author | Trifoi, Ioan |
| author_facet | Trifoi, Ioan |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2503_23309 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Fixed points theorems for $b$-enriched multivalued nonexpansive mappings and *-$b$-enriched nonexpansive mappings Trifoi, Ioan Functional Analysis 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. |
| title | Fixed points theorems for $b$-enriched multivalued nonexpansive mappings and *-$b$-enriched nonexpansive mappings |
| topic | Functional Analysis |
| url | https://arxiv.org/abs/2503.23309 |