An algorithm for equilibrium problems with mixed-type fixed point constraints.
In this paper, we introduce a novel class of nonlinear mappings known as ϑ-strictly asymptotically pseudocontractive-type multivalued mapping (ϑ-SAPM) in a Hilbert space domain. In addition, a new method was initiated, and it was shown that this method converges strongly to the solution set of an eq...
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| Format: | Article |
| Language: | English |
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Public Library of Science (PLoS)
2025-01-01
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| Series: | PLoS ONE |
| Online Access: | https://doi.org/10.1371/journal.pone.0318925 |
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| author | Lifang Guo Imo Kalu Agwu Umar Ishtiaq Khalid A Alnowibet |
| author_facet | Lifang Guo Imo Kalu Agwu Umar Ishtiaq Khalid A Alnowibet |
| author_sort | Lifang Guo |
| collection | DOAJ |
| description | In this paper, we introduce a novel class of nonlinear mappings known as ϑ-strictly asymptotically pseudocontractive-type multivalued mapping (ϑ-SAPM) in a Hilbert space domain. In addition, a new method was initiated, and it was shown that this method converges strongly to the solution set of an equilibrium problem (EP) and the set of common fixed points of two finite families of type-one (ϑ-SAPM) and ϑ-strictly pseudocontractive-type multivalued mapping (ϑ-SPM). Moreover, we showed that the classes of mappings considered are independent and also presented a numerical example to illustrate the implementablity of the suggested method. The results obtained improve, generalize and extend several conclusions reported in literature. |
| format | Article |
| id | doaj-art-ae546ea7202242949e99c34a7b3da0e0 |
| institution | OA Journals |
| issn | 1932-6203 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Public Library of Science (PLoS) |
| record_format | Article |
| series | PLoS ONE |
| spelling | doaj-art-ae546ea7202242949e99c34a7b3da0e02025-08-20T02:28:16ZengPublic Library of Science (PLoS)PLoS ONE1932-62032025-01-01202e031892510.1371/journal.pone.0318925An algorithm for equilibrium problems with mixed-type fixed point constraints.Lifang GuoImo Kalu AgwuUmar IshtiaqKhalid A AlnowibetIn this paper, we introduce a novel class of nonlinear mappings known as ϑ-strictly asymptotically pseudocontractive-type multivalued mapping (ϑ-SAPM) in a Hilbert space domain. In addition, a new method was initiated, and it was shown that this method converges strongly to the solution set of an equilibrium problem (EP) and the set of common fixed points of two finite families of type-one (ϑ-SAPM) and ϑ-strictly pseudocontractive-type multivalued mapping (ϑ-SPM). Moreover, we showed that the classes of mappings considered are independent and also presented a numerical example to illustrate the implementablity of the suggested method. The results obtained improve, generalize and extend several conclusions reported in literature.https://doi.org/10.1371/journal.pone.0318925 |
| spellingShingle | Lifang Guo Imo Kalu Agwu Umar Ishtiaq Khalid A Alnowibet An algorithm for equilibrium problems with mixed-type fixed point constraints. PLoS ONE |
| title | An algorithm for equilibrium problems with mixed-type fixed point constraints. |
| title_full | An algorithm for equilibrium problems with mixed-type fixed point constraints. |
| title_fullStr | An algorithm for equilibrium problems with mixed-type fixed point constraints. |
| title_full_unstemmed | An algorithm for equilibrium problems with mixed-type fixed point constraints. |
| title_short | An algorithm for equilibrium problems with mixed-type fixed point constraints. |
| title_sort | algorithm for equilibrium problems with mixed type fixed point constraints |
| url | https://doi.org/10.1371/journal.pone.0318925 |
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