# Hybrid projection algorithms for total asymptotically strict quasi-$\phi$-pseudo-contractions

Volume 8, Issue 6, pp 1032--1047
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### Authors

Zi-Ming Wang - Department of Foundation, Shandong Yingcai University, Jinan 250104, P. R. China. Jinge Yang - Department of Science, Nanchang Institute of Technology, Nanchang 330099, P. R. China.

### Abstract

The purpose of this article is to prove strong convergence theorems for 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 minimizers of proper, lower semicontinuous, convex functionals and solutions of equilibrium problems.

### Share and Cite

##### ISRP Style

Zi-Ming Wang, Jinge Yang, Hybrid projection algorithms for total asymptotically strict quasi-$\phi$-pseudo-contractions, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1032--1047

##### AMA Style

Wang Zi-Ming, Yang Jinge, Hybrid projection algorithms for total asymptotically strict quasi-$\phi$-pseudo-contractions. J. Nonlinear Sci. Appl. (2015); 8(6):1032--1047

##### Chicago/Turabian Style

Wang, Zi-Ming, Yang, Jinge. "Hybrid projection algorithms for total asymptotically strict quasi-$\phi$-pseudo-contractions." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1032--1047

### Keywords

• Total asymptotically strict quasi-$\phi$-pseudo-contraction
• maximal monotone operator
• equilibrium problem
• fixed point
• Banach space.

•  47H09
•  47J05
•  47J25

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