Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces
UDC 517.5 We examine the existence of fixed points of generalized $\alpha $-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces.  We establish various convergence results for a newly defined algorithm associated with  $\alpha $-nonexpansive mappings.&...
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| Datum: | 2023 |
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| Hauptverfasser: | , , |
| Format: | Artikel |
| Sprache: | Englisch |
| Veröffentlicht: |
Institute of Mathematics, NAS of Ukraine
2023
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/7188 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| Zusammenfassung: | UDC 517.5
We examine the existence of fixed points of generalized $\alpha $-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces.  We establish various convergence results for a newly defined algorithm associated with  $\alpha $-nonexpansive mappings.  We present some illustrative examples to show the efficiency of the proposed algorithm and to support the above-mentioned results.  We also define monotone generalized $\alpha $-nonexpansive mappings and prove some existence and convergence results for these mappings. |
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| DOI: | 10.37863/umzh.v75i7.7188 |