Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type
UDC 517.9 Our main aim is to introduce an iterative algorithm for the approximation of a common solution to a split-equality problem for finite families of variational inequalities and the split equality fixed-point problem. By using our iterative algorithm, we state and prove a strong convergence...
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| Datum: | 2026 |
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| Format: | Artikel |
| Sprache: | Englisch |
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Institute of Mathematics, NAS of Ukraine
2026
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| Online Zugang: | https://umj.imath.kiev.ua/index.php/umj/article/view/1530 |
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| Назва журналу: | Ukrains’kyi Matematychnyi Zhurnal |
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Ukrains’kyi Matematychnyi Zhurnal| _version_ | 1865788485252677632 |
|---|---|
| author | Izuchukwu, C. Mewomo, O. T. Okeke, C. C. Ізучукву, К. Мевомо, О. Т. Океке, С. С. |
| author_facet | Izuchukwu, C. Mewomo, O. T. Okeke, C. C. Ізучукву, К. Мевомо, О. Т. Океке, С. С. |
| author_institution_txt_mv | [
{
"author": "C. Izuchukwu",
"institution": null
},
{
"author": "O. T. Mewomo",
"institution": null
},
{
"author": "C. C. Okeke",
"institution": null
}
] |
| author_sort | Izuchukwu, C. |
| baseUrl_str | https://umj.imath.kiev.ua/index.php/umj/oai |
| collection | OJS |
| datestamp_date | 2026-02-09T14:27:57Z |
| description | UDC 517.9
Our main aim is to introduce an iterative algorithm for the approximation of a common solution to a split-equality problem for finite families of variational inequalities and the split equality fixed-point problem.
By using our iterative algorithm, we state and prove a strong convergence theorem for the approximation of an element in the intersection of the set of solutions of the split-equality problem for finite families of variational inequalities and the set of solutions of the split equality fixed-point problem for countable families of multivalued type-one mappings of the demicontractive type. Finally, we apply our result to study related problems.
Our result supplements and extends some recent results in the literature. |
| doi_str_mv | 10.3842/umzh.v71i11.1530 |
| first_indexed | 2026-03-24T02:07:30Z |
| format | Article |
| fulltext | |
| id | umjimathkievua-article-1530 |
| institution | Ukrains’kyi Matematychnyi Zhurnal |
| keywords_txt_mv | keywords |
| language | English |
| last_indexed | 2026-03-24T02:07:30Z |
| publishDate | 2026 |
| publisher | Institute of Mathematics, NAS of Ukraine |
| record_format | ojs |
| resource_txt_mv | |
| spelling | umjimathkievua-article-15302026-02-09T14:27:57Z Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type Системи варiацiйних нерiвностей та задачi про нерухому точку з багатомножинною розщепленою рiвнiстю для злiченних сiмей багатозначних напiвстискаючих вiдображень першого типу Izuchukwu, C. Mewomo, O. T. Okeke, C. C. Ізучукву, К. Мевомо, О. Т. Океке, С. С. UDC 517.9 Our main aim is to introduce an iterative algorithm for the approximation of a common solution to a split-equality problem for finite families of variational inequalities and the split equality fixed-point problem. By using our iterative algorithm, we state and prove a strong convergence theorem for the approximation of an element in the intersection of the set of solutions of the split-equality problem for finite families of variational inequalities and the set of solutions of the split equality fixed-point problem for countable families of multivalued type-one mappings of the demicontractive type. Finally, we apply our result to study related problems. Our result supplements and extends some recent results in the literature. УДК 517.9 Запропoновано ітеративний алгоритм для наближення спільного розв'язку задачі про розщеплену рівність для скінченних сімей варіаційних нерівностей та задачі про нерухому точку з розщепленою рівністю. За допомогою розробленого алгоритму сформульовано та доведено теорему про сильну збіжність для наближення елемента, що належить перетину множини розв'язків задачі про розщеплену рівність для скінченних сімей варіаційних нерівностей та множини розв'язків задачі про нерухому точку з розщепленою рівністю для зліченних сімей багатозначних напівстискаючих відображень першого типу. Результат, що отримано, застосовано до вивчення споріднених задач. Наш результат доповнює та узагальнює деякі нові результати в літературі. Institute of Mathematics, NAS of Ukraine 2026-02-09 Article Article application/pdf https://umj.imath.kiev.ua/index.php/umj/article/view/1530 10.3842/umzh.v71i11.1530 Ukrains’kyi Matematychnyi Zhurnal; Vol. 71 No. 11 (2019); 1480-1501 Український математичний журнал; Том 71 № 11 (2019); 1480-1501 1027-3190 en https://umj.imath.kiev.ua/index.php/umj/article/view/1530/512 Copyright (c) 2019 Izuchukwu C.; Mewomo O. T.; Okeke C. C. |
| spellingShingle | Izuchukwu, C. Mewomo, O. T. Okeke, C. C. Ізучукву, К. Мевомо, О. Т. Океке, С. С. Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type |
| title | Systems of variational inequalities and multiple-set
split equality fixed-point problems for countable families of multivalued type-one mappings
of the demicontractive type |
| title_alt | Системи варiацiйних нерiвностей та задачi
про нерухому точку з багатомножинною розщепленою
рiвнiстю для злiченних сiмей багатозначних
напiвстискаючих вiдображень першого типу |
| title_full | Systems of variational inequalities and multiple-set
split equality fixed-point problems for countable families of multivalued type-one mappings
of the demicontractive type |
| title_fullStr | Systems of variational inequalities and multiple-set
split equality fixed-point problems for countable families of multivalued type-one mappings
of the demicontractive type |
| title_full_unstemmed | Systems of variational inequalities and multiple-set
split equality fixed-point problems for countable families of multivalued type-one mappings
of the demicontractive type |
| title_short | Systems of variational inequalities and multiple-set
split equality fixed-point problems for countable families of multivalued type-one mappings
of the demicontractive type |
| title_sort | systems of variational inequalities and multiple-set
split equality fixed-point problems for countable families of multivalued type-one mappings
of the demicontractive type |
| url | https://umj.imath.kiev.ua/index.php/umj/article/view/1530 |
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