Strong convergence theorem for common solutions to quasi variational inclusion and fixed point problems
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Authors
Xianzhi Tang
- Department of of basic courses, Yellow River Conservancy Technical Institute, Kaifeng 475004, China.
Huanhuan Cui
- Department of Mathematics, Luoyang Normal University, Luoyang, 471022, China.
Abstract
In this paper, we consider a problem that consists of finding a common solution to quasi variational
inclusion and fixed point problems. We first present a simple proof to the strong convergence theorem
established by Zhang et al. recently. Next, we propose a new algorithm to solve such a problem. Under
some mild conditions, we establish the strong convergence of iterative sequence of the proposed algorithm.
Share and Cite
ISRP Style
Xianzhi Tang, Huanhuan Cui, Strong convergence theorem for common solutions to quasi variational inclusion and fixed point problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 8, 5252--5258
AMA Style
Tang Xianzhi, Cui Huanhuan, Strong convergence theorem for common solutions to quasi variational inclusion and fixed point problems. J. Nonlinear Sci. Appl. (2016); 9(8):5252--5258
Chicago/Turabian Style
Tang, Xianzhi, Cui, Huanhuan. "Strong convergence theorem for common solutions to quasi variational inclusion and fixed point problems." Journal of Nonlinear Sciences and Applications, 9, no. 8 (2016): 5252--5258
Keywords
- Variational inclusion
- fixed point problem
- inverse strongly monotone operator
- nonexpansive mapping
- multi-valued maximal monotone mapping.
MSC
- 47J25
- 47H05
- 47H09
- 47H04
- 47J22
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