A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces
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| Định dạng: | Sách |
| Ngôn ngữ: | English |
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Springer
2023
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| Truy cập trực tuyến: | https://link.springer.com/article/10.1007/s13370-023-01040-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7595 |
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oai:localhost:PNK-75952023-04-05T08:54:57Z A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces K. O., Aremu C., Izuchukwu G. N., Ogwo proximal point-type nonexpansive mapping CC BY In this paper, we introduce a proximal point-type of viscosity iterative method with double implicit midpoint rule comprising of a nonexpansive mapping and the resolvents of a monotone operator and a bifunction. Furthermore, we establish that the sequence generated by our proposed algorithm converges strongly to an element in the intersection of the solution sets of monotone inclusion problem, equilibrium problem and fixed point problem for a nonexpansive mapping in complete CAT(0) spaces. In addition, we give a numerical example of our method each in a finite dimensional Euclidean space and a non-Hilbert space setting to show the applicability of our method . Our results complement many recent results in the literature. 2023-04-05T08:54:57Z 2023-04-05T08:54:57Z 2023 Book https://link.springer.com/article/10.1007/s13370-023-01040-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7595 en application/pdf Springer |
| institution |
Digital Phenikaa |
| collection |
Digital Phenikaa |
| language |
English |
| topic |
proximal point-type nonexpansive mapping |
| spellingShingle |
proximal point-type nonexpansive mapping K. O., Aremu C., Izuchukwu G. N., Ogwo A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces |
| description |
CC BY |
| format |
Book |
| author |
K. O., Aremu C., Izuchukwu G. N., Ogwo |
| author_facet |
K. O., Aremu C., Izuchukwu G. N., Ogwo |
| author_sort |
K. O., Aremu |
| title |
A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces |
| title_short |
A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces |
| title_full |
A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces |
| title_fullStr |
A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces |
| title_full_unstemmed |
A modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in CAT(0) spaces |
| title_sort |
modified viscosity iterative method for implicit midpoint rule for optimization and fixed point problems in cat(0) spaces |
| publisher |
Springer |
| publishDate |
2023 |
| url |
https://link.springer.com/article/10.1007/s13370-023-01040-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7595 |
| _version_ |
1762365505354596352 |
| score |
8.891145 |