Approximation solvability of two nonlinear optimization problems involving monotone operators
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Authors
Xiaomin Xu
- School of Economics and Management, North China Electric Power University, Beijing 102206, China.
Yanxia Lu
- Department of Mathematics and physics, North China Electric Power university, Baoding 071003, China.
Sun Young Cho
- Department of Mathematics, Gyeongsang National University, Jinju 660-701, Korea.
Abstract
Fixed points of strict pseudocontractions and zero points of two monotone operators are investigated
based on a viscosity iterative method. A strong convergence theorem of common solutions is established in
the framework of Hilbert spaces. The results obtained in this paper improve and extend many corresponding
results announced recently.
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ISRP Style
Xiaomin Xu, Yanxia Lu, Sun Young Cho, Approximation solvability of two nonlinear optimization problems involving monotone operators, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 5, 2604--2614
AMA Style
Xu Xiaomin, Lu Yanxia, Cho Sun Young, Approximation solvability of two nonlinear optimization problems involving monotone operators. J. Nonlinear Sci. Appl. (2016); 9(5):2604--2614
Chicago/Turabian Style
Xu, Xiaomin, Lu, Yanxia, Cho, Sun Young. "Approximation solvability of two nonlinear optimization problems involving monotone operators." Journal of Nonlinear Sciences and Applications, 9, no. 5 (2016): 2604--2614
Keywords
- Iterative process
- quasi-variational inclusion
- nonexpansive mapping
- fixed point.
MSC
References
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