Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces
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Authors
Qingqing Cheng
- Department of Mathematics and LPMC, Nankai University, Tianjin, 300071, China.
Yongfu Su
- Department of Mathematics, Tianjin Polytechnic University, Tianjin, 300387, China.
Abstract
In this paper, we construct two iteration schemes for approximating a common element of the set of solutions of equilibrium
problems (GMEP and GEP) and the set of common fixed points of a finite family of k-strictly asymptotically pseudo-contractions
in Hilbert spaces. Fixed point theorems are established in Hilbert spaces. Numerical examples and applications are provided.
The main results of this paper modify and improve many important recent results in the literature.
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ISRP Style
Qingqing Cheng, Yongfu Su, Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 4, 1433--1455
AMA Style
Cheng Qingqing, Su Yongfu, Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces. J. Nonlinear Sci. Appl. (2017); 10(4):1433--1455
Chicago/Turabian Style
Cheng, Qingqing, Su, Yongfu. "Weak and strong convergence theorems for nonlinear mappings and system of generalized mixed equilibrium problems in Hilbert spaces." Journal of Nonlinear Sciences and Applications, 10, no. 4 (2017): 1433--1455
Keywords
- Equilibrium problem
- Modified Ishikawa’s iteration
- hybrid algorithm
- Hilbert space
- weak and strong convergence.
MSC
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