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

Volume 8, Issue 6, pp 1032--1047 http://dx.doi.org/10.22436/jnsa.008.06.14

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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.

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Keywords

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

MSC

•  47H09
•  47J05
•  47J25

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