The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces
In this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally quasi-ϕ-asymptotically nonexpansive mappings...
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| Format: | Article |
| Language: | English |
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MDPI AG
2017-02-01
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| Series: | Mathematics |
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| Online Access: | http://www.mdpi.com/2227-7390/5/1/11 |
| _version_ | 1828418125013450752 |
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| author | Ali Abkar Elahe Shahrosvand Azizollah Azizi |
| author_facet | Ali Abkar Elahe Shahrosvand Azizollah Azizi |
| author_sort | Ali Abkar |
| collection | DOAJ |
| description | In this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally quasi-ϕ-asymptotically nonexpansive mappings and k-quasi-strictly pseudocontractive mappings in the setting of Banach spaces. Our results improve and extend the results of Tang et al., Takahashi, Moudafi, Censor et al., and Byrne et al. |
| first_indexed | 2024-12-10T14:31:34Z |
| format | Article |
| id | doaj.art-79665b4b252747b3b8649b270d83efac |
| institution | Directory Open Access Journal |
| issn | 2227-7390 |
| language | English |
| last_indexed | 2024-12-10T14:31:34Z |
| publishDate | 2017-02-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Mathematics |
| spelling | doaj.art-79665b4b252747b3b8649b270d83efac2022-12-22T01:44:55ZengMDPI AGMathematics2227-73902017-02-01511110.3390/math5010011math5010011The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach SpacesAli Abkar0Elahe Shahrosvand1Azizollah Azizi2Department of Mathematics, Imam Khomeini International University, Qazvin 34149, IranDepartment of Mathematics, Imam Khomeini International University, Qazvin 34149, IranDepartment of Mathematics, Imam Khomeini International University, Qazvin 34149, IranIn this paper, we introduce an iterative algorithm for solving the split common fixed point problem for a family of multi-valued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings, as well as for a family of totally quasi-ϕ-asymptotically nonexpansive mappings and k-quasi-strictly pseudocontractive mappings in the setting of Banach spaces. Our results improve and extend the results of Tang et al., Takahashi, Moudafi, Censor et al., and Byrne et al.http://www.mdpi.com/2227-7390/5/1/11split common fixed point problemtotally asymptotically strictly pseudocontractive mappingquasinonexpansive mappingk-quasi-strictly pseudocontractive mapping |
| spellingShingle | Ali Abkar Elahe Shahrosvand Azizollah Azizi The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces Mathematics split common fixed point problem totally asymptotically strictly pseudocontractive mapping quasinonexpansive mapping k-quasi-strictly pseudocontractive mapping |
| title | The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces |
| title_full | The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces |
| title_fullStr | The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces |
| title_full_unstemmed | The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces |
| title_short | The Split Common Fixed Point Problem for a Family of Multivalued Quasinonexpansive Mappings and Totally Asymptotically Strictly Pseudocontractive Mappings in Banach Spaces |
| title_sort | split common fixed point problem for a family of multivalued quasinonexpansive mappings and totally asymptotically strictly pseudocontractive mappings in banach spaces |
| topic | split common fixed point problem totally asymptotically strictly pseudocontractive mapping quasinonexpansive mapping k-quasi-strictly pseudocontractive mapping |
| url | http://www.mdpi.com/2227-7390/5/1/11 |
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