Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings
In this paper, we consider the multiple-set split common fixed point problem in Hilbert spaces. We first study a couple of critical properties of strictly pseudocontractive mappings and particularly the property under mix activity. By utilizing these properties, we propose new iterative strategies f...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2022-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/9054799 |
| _version_ | 1811183135961907200 |
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| author | Lin Xue Huanhuan Cui |
| author_facet | Lin Xue Huanhuan Cui |
| author_sort | Lin Xue |
| collection | DOAJ |
| description | In this paper, we consider the multiple-set split common fixed point problem in Hilbert spaces. We first study a couple of critical properties of strictly pseudocontractive mappings and particularly the property under mix activity. By utilizing these properties, we propose new iterative strategies for settling this problem as well as several connected issues. Under delicate conditions, we state weak convergence of the proposed strategies that expands the current works from the case of two subsets to the instance of multiple subsets. As an application, we give an exhibit of the theoretical results to the multiple-set split equality problem and the elastic net regularization. |
| first_indexed | 2024-04-11T09:41:40Z |
| format | Article |
| id | doaj.art-0c5f64499c234d73b31e7f5fed3074f9 |
| institution | Directory Open Access Journal |
| issn | 2314-8888 |
| language | English |
| last_indexed | 2024-04-11T09:41:40Z |
| publishDate | 2022-01-01 |
| publisher | Hindawi Limited |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj.art-0c5f64499c234d73b31e7f5fed3074f92022-12-22T04:31:10ZengHindawi LimitedJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9054799Iterative Arrangements of the MSCFP for Strictly Pseudocontractive MappingsLin Xue0Huanhuan Cui1Department of MathematicsDepartment of MathematicsIn this paper, we consider the multiple-set split common fixed point problem in Hilbert spaces. We first study a couple of critical properties of strictly pseudocontractive mappings and particularly the property under mix activity. By utilizing these properties, we propose new iterative strategies for settling this problem as well as several connected issues. Under delicate conditions, we state weak convergence of the proposed strategies that expands the current works from the case of two subsets to the instance of multiple subsets. As an application, we give an exhibit of the theoretical results to the multiple-set split equality problem and the elastic net regularization.http://dx.doi.org/10.1155/2022/9054799 |
| spellingShingle | Lin Xue Huanhuan Cui Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings Journal of Function Spaces |
| title | Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings |
| title_full | Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings |
| title_fullStr | Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings |
| title_full_unstemmed | Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings |
| title_short | Iterative Arrangements of the MSCFP for Strictly Pseudocontractive Mappings |
| title_sort | iterative arrangements of the mscfp for strictly pseudocontractive mappings |
| url | http://dx.doi.org/10.1155/2022/9054799 |
| work_keys_str_mv | AT linxue iterativearrangementsofthemscfpforstrictlypseudocontractivemappings AT huanhuancui iterativearrangementsofthemscfpforstrictlypseudocontractivemappings |