Hybrid projection algorithms for finite total asymptotically strict quasi-\(\phi\)-pseudo-contractions
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Authors
Xiaomei Zhang
- Department of Foundation, Shandong Yingcai University, Jinan, P. R. China.
Qiuhong Cao
- Department of Otorhinolaryngology, Head and Neck Surgery, Jinan 250013, P. R. China.
Zi-Ming Wang
- Department of Foundation, Shandong Yingcai University, Jinan, P. R. China.
Abstract
The purpose of this article is to prove strong convergence theorems for finding a common fixed point of finite total asymptotically
strict quasi-\(\phi\)-pseudo-contractions by using a hybrid projection algorithm in Banach spaces. As applications, we apply
our main results to find a common solution of a system of generalized mixed equilibrium problems. Finally, some results of
numerical simulations are given for supporting our results.
Share and Cite
ISRP Style
Xiaomei Zhang, Qiuhong Cao, Zi-Ming Wang, Hybrid projection algorithms for finite total asymptotically strict quasi-\(\phi\)-pseudo-contractions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2816--2827
AMA Style
Zhang Xiaomei, Cao Qiuhong, Wang Zi-Ming, Hybrid projection algorithms for finite total asymptotically strict quasi-\(\phi\)-pseudo-contractions. J. Nonlinear Sci. Appl. (2017); 10(5):2816--2827
Chicago/Turabian Style
Zhang, Xiaomei, Cao, Qiuhong, Wang, Zi-Ming. "Hybrid projection algorithms for finite total asymptotically strict quasi-\(\phi\)-pseudo-contractions." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2816--2827
Keywords
- Total asymptotically strict quasi-\(\phi\)-pseudo-contraction
- generalized mixed equilibrium problem
- fixed point
- Banach space
- hybrid method.
MSC
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