Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings
In this paper, we are concerned with the multiple-sets split common fixed-point problems whenever the involved mappings are demicontractive. We first study several properties of demicontractive mappings and particularly their connection with directed mappings. By making use of these properties, we p...
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/3962348 |
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| _version_ | 1832546022674399232 |
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| author | Huanhuan Cui |
| author_facet | Huanhuan Cui |
| author_sort | Huanhuan Cui |
| collection | DOAJ |
| description | In this paper, we are concerned with the multiple-sets split common fixed-point problems whenever the involved mappings are demicontractive. We first study several properties of demicontractive mappings and particularly their connection with directed mappings. By making use of these properties, we propose some new iterative methods for solving multiple-sets split common fixed-point problems, as well as multiple-sets spit feasibility problems. Under mild conditions, we establish their weak convergence of the proposed methods. |
| format | Article |
| id | doaj-art-db6834aa30b34920a5946d22045077c9 |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-db6834aa30b34920a5946d22045077c92025-02-03T07:24:09ZengWileyJournal of Mathematics2314-47852021-01-01202110.1155/2021/3962348Multiple-Sets Split Common Fixed-Point Problems for Demicontractive MappingsHuanhuan Cui0Department of MathematicsIn this paper, we are concerned with the multiple-sets split common fixed-point problems whenever the involved mappings are demicontractive. We first study several properties of demicontractive mappings and particularly their connection with directed mappings. By making use of these properties, we propose some new iterative methods for solving multiple-sets split common fixed-point problems, as well as multiple-sets spit feasibility problems. Under mild conditions, we establish their weak convergence of the proposed methods.http://dx.doi.org/10.1155/2021/3962348 |
| spellingShingle | Huanhuan Cui Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings Journal of Mathematics |
| title | Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings |
| title_full | Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings |
| title_fullStr | Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings |
| title_full_unstemmed | Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings |
| title_short | Multiple-Sets Split Common Fixed-Point Problems for Demicontractive Mappings |
| title_sort | multiple sets split common fixed point problems for demicontractive mappings |
| url | http://dx.doi.org/10.1155/2021/3962348 |
| work_keys_str_mv | AT huanhuancui multiplesetssplitcommonfixedpointproblemsfordemicontractivemappings |