More general viscosity implicit midpoint rule for nonexpansive mapping with applications
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Authors
Hui-Ying Hu
- Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China.
Abstract
The more general viscosity implicit midpoint rule of fixed point of nonexpansive mapping in Hilbert space is established.
The strong convergence of this rule is proved under certain assumptions imposed on the sequence of parameters, which, in
addition, is the unique solution of the variational inequality problem. Applications to variational inequalities, hierarchical
minimization problems, Fredholm integral equations, and nonlinear evolution equations are included. The results presented in
this work may be treated as an improvement, extension and refinement of some corresponding ones in the literature.
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ISRP Style
Hui-Ying Hu, More general viscosity implicit midpoint rule for nonexpansive mapping with applications, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 5, 2743--2756
AMA Style
Hu Hui-Ying, More general viscosity implicit midpoint rule for nonexpansive mapping with applications. J. Nonlinear Sci. Appl. (2017); 10(5):2743--2756
Chicago/Turabian Style
Hu, Hui-Ying. "More general viscosity implicit midpoint rule for nonexpansive mapping with applications." Journal of Nonlinear Sciences and Applications, 10, no. 5 (2017): 2743--2756
Keywords
- More general viscosity implicit midpoint rule
- nonexpansive mapping
- fixed point problem
- iterative scheme
- variational inequality.
MSC
References
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