# Monotone hybrid methods for a common solution problem in Hilbert spaces

Volume 9, Issue 3, pp 757--765 Publication Date: March 24, 2016
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### Authors

Dongfeng Li - School of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, China. Juan Zhao - School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power University, Zhengzhou 450011, China.

### Abstract

The purpose of this article is to investigate generalized mixed equilibrium problems and uniformly L-Lipschitz continuous asymptotically $\kappa$-strict pseudocontractions in the intermediate sense based on a monotone hybrid method. Strong convergence theorems of common solutions are established in the framework of Hilbert spaces.

### Keywords

• Asymptotically strict pseudocontraction
• asymptotically nonexpansive mapping
• generalized mixed equilibrium problem
• solution
• fixed point.

•  47H10
•  90C33

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