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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| Date: | 2023 |
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| Main Authors: | , , |
| Format: | Article |
| Language: | English |
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Institute of Mathematics, NAS of Ukraine
2023
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| Online Access: | https://umj.imath.kiev.ua/index.php/umj/article/view/7188 |
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| Journal Title: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1860512624646553600 |
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| author | Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim |
| author_facet | Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim |
| author_sort | Hacıoǧlu, Emirhan |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2023-08-15T15:57:32Z |
| description | 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. |
| doi_str_mv | 10.37863/umzh.v75i7.7188 |
| first_indexed | 2026-03-24T03:31:45Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-7188 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T03:31:45Z |
| publishDate | 2023 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-71882023-08-15T15:57:32Z Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim $CAT_{p}(0)$ spaces, Monotone Generalized $\alpha -$Non-expansive Mappings, Iterative algorithms, Strong convergence, $\Delta -$convergence 47H10 54H25 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. УДК 517.5 Монотонні узагальнені $\alpha$-нерозкладні відображення на просторах $C\kern-1ptAT_{p}(0)$ Досліджено існування нерухомих точок узагальнених $\alpha $-нерозкладних відображень на просторах $C\kern-1ptAT_{p}(0)$.  Встановлено різні результати щодо збіжності нового алгоритму, що пов'язаний з $\alpha $-нерозкладними відображеннями.  Наведено кілька ілюстративних прикладів, які демонструють ефективність цього алгоритму та підтверджують вищезгадані результати.  Також визначено монотонні узагальнені $\alpha $-нерозкладні відображення  та доведено деякі результати щодо існування та збіжності для цих відображень.  Institute of Mathematics, NAS of Ukraine 2023-07-25 Article Article https://umj.imath.kiev.ua/index.php/umj/article/view/7188 10.37863/umzh.v75i7.7188 Ukrains’kyi Matematychnyi Zhurnal; Vol. 75 No. 7 (2023); 970 - 986 Український математичний журнал; Том 75 № 7 (2023); 970 - 986 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/7188/9755 Copyright (c) 2023 Emirhan HACIOĞLU, Faik GÜRSOY, Abdul Rahim Khan |
| spellingShingle | Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim Hacıoǧlu, Emirhan Gürsoy, Faik Khan, Abdul Rahim Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title | Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title_alt | Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title_full | Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title_fullStr | Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title_full_unstemmed | Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title_short | Monotone generalized $\alpha$-nonexpansive mappings on $C\kern-1ptAT_{p}(0)$ spaces |
| title_sort | monotone generalized $\alpha$-nonexpansive mappings on $c\kern-1ptat_{p}(0)$ spaces |
| topic_facet | $CAT_{p}(0)$ spaces Monotone Generalized $\alpha -$Non-expansive Mappings Iterative algorithms Strong convergence $\Delta -$convergence 47H10 54H25 |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/7188 |
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