Strong-weak convergence of two algorithms for total asymptotically nonexpansive mappings
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Authors
Yan Hao
- School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316022, China.
- Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan 316022, China.
Chaoping Wang
- School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316022, China.
- Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan 316022, China.
Jie Zhou
- School of Mathematics, Physics and Information Science, Zhejiang Ocean University, Zhoushan 316022, China.
- Key Laboratory of Oceanographic Big Data Mining and Application of Zhejiang Province, Zhoushan 316022, China.
Abstract
The purpose of this article is to investigate fixed point problems of total asymptotically nonexpansive mappings via two
different iterative algorithms. We obtain strong and convergence theorems in the framework of Hilbert spaces. The main results
improve and extend the recent corresponding results.
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ISRP Style
Yan Hao, Chaoping Wang, Jie Zhou, Strong-weak convergence of two algorithms for total asymptotically nonexpansive mappings, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2700--2709
AMA Style
Hao Yan, Wang Chaoping, Zhou Jie, Strong-weak convergence of two algorithms for total asymptotically nonexpansive mappings. J. Nonlinear Sci. Appl. (2017); 10(5):2700--2709
Chicago/Turabian Style
Hao, Yan, Wang, Chaoping, Zhou, Jie. "Strong-weak convergence of two algorithms for total asymptotically nonexpansive mappings." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2700--2709
Keywords
- Hilbert space
- convergence analysis
- iterative algorithm
- total asymptotically nonexpansive mappings
- projection.
MSC
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