Extragradient Method for Fixed Points in CAT(0) Spaces
This paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained. The results established in this work extend and improve some recent discovers in the litera...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2021-01-01
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| Series: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2021/7808255 |
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| _version_ | 1832545869309673472 |
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| author | Yu-Pei Lv Khurram Shabbir Sundus Shahzeen Farman Ali Jeevan Kafle |
| author_facet | Yu-Pei Lv Khurram Shabbir Sundus Shahzeen Farman Ali Jeevan Kafle |
| author_sort | Yu-Pei Lv |
| collection | DOAJ |
| description | This paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained. The results established in this work extend and improve some recent discovers in the literature. |
| format | Article |
| id | doaj-art-94b4928fb43f4fc5af0362c74cdfb3e9 |
| institution | Kabale University |
| issn | 2314-8896 2314-8888 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-94b4928fb43f4fc5af0362c74cdfb3e92025-02-03T07:24:25ZengWileyJournal of Function Spaces2314-88962314-88882021-01-01202110.1155/2021/78082557808255Extragradient Method for Fixed Points in CAT(0) SpacesYu-Pei Lv0Khurram Shabbir1Sundus Shahzeen2Farman Ali3Jeevan Kafle4Department of Mathematics, Huzhou University, Huzhou 313000, ChinaDepartment of Mathematics, GC University, Lahore, PakistanDepartment of Mathematics and Statistics, The University of Lahore, Lahore, PakistanDepartment of Software, Sejong University, Seoul 05006, Republic of KoreaCentral Department of Mathematics, Tribhuvan University, Kirtipur, Kathmandu, NepalThis paper is dedicated to construct a viscosity extragradient algorithm for finding fixed points in a CAT(0) space. The mappings we consider are nonexpansive. Strong convergence of the algorithm is obtained. The results established in this work extend and improve some recent discovers in the literature.http://dx.doi.org/10.1155/2021/7808255 |
| spellingShingle | Yu-Pei Lv Khurram Shabbir Sundus Shahzeen Farman Ali Jeevan Kafle Extragradient Method for Fixed Points in CAT(0) Spaces Journal of Function Spaces |
| title | Extragradient Method for Fixed Points in CAT(0) Spaces |
| title_full | Extragradient Method for Fixed Points in CAT(0) Spaces |
| title_fullStr | Extragradient Method for Fixed Points in CAT(0) Spaces |
| title_full_unstemmed | Extragradient Method for Fixed Points in CAT(0) Spaces |
| title_short | Extragradient Method for Fixed Points in CAT(0) Spaces |
| title_sort | extragradient method for fixed points in cat 0 spaces |
| url | http://dx.doi.org/10.1155/2021/7808255 |
| work_keys_str_mv | AT yupeilv extragradientmethodforfixedpointsincat0spaces AT khurramshabbir extragradientmethodforfixedpointsincat0spaces AT sundusshahzeen extragradientmethodforfixedpointsincat0spaces AT farmanali extragradientmethodforfixedpointsincat0spaces AT jeevankafle extragradientmethodforfixedpointsincat0spaces |