Monotone hybrid methods for a common solution problem in Hilbert spaces
- School of Information Engineering, North China University of Water Resources and Electric Power, Zhengzhou, China.
- School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power University, Zhengzhou 450011, China.
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
- Asymptotically strict pseudocontraction
- asymptotically nonexpansive mapping
- generalized mixed equilibrium problem
- fixed point.
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