Hybrid projection algorithms for finite total asymptotically strict quasi-\(\phi\)-pseudo-contractions


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.


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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


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