Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations
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Authors
Yonghong Yao
- Department of Mathematics, Tianjin Polytechnic University, Tianjin 300387, China.
Yeong-Cheng Liou
- Department of Healthcare Administration and Medical Informatics; and Research Center of Nonlinear Analysis and Optimization and Center for Fundamental Science, Kaohsiung Medical University, Kaohsiung 807, Taiwan.
Jen-Chih Yao
- Center for General Education, China Medical University, Taichung, 40402, Taiwan.
Abstract
In the present paper, we consider the split variational inequality and fixed point problem that requires to find a solution
of a generalized variational inequality in a nonempty closed convex subset \(\mathcal{C}\) of a real Hilbert space \(\mathcal{H}\) whose image under a
nonlinear transformation is a fixed point of a pseudocontractive operator. An iterative algorithm is introduced to solve this split
problem and the strong convergence analysis is given.
Share and Cite
ISRP Style
Yonghong Yao, Yeong-Cheng Liou, Jen-Chih Yao, Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 2, 843--854
AMA Style
Yao Yonghong, Liou Yeong-Cheng, Yao Jen-Chih, Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations. J. Nonlinear Sci. Appl. (2017); 10(2):843--854
Chicago/Turabian Style
Yao, Yonghong, Liou, Yeong-Cheng, Yao, Jen-Chih. "Iterative algorithms for the split variational inequality and fixed point problems under nonlinear transformations." Journal of Nonlinear Sciences and Applications, 10, no. 2 (2017): 843--854
Keywords
- Split problem
- variational inequality
- fixed point
- iterative algorithm
- pseudocontractive mappings.
MSC
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