Strong convergence for a common solution of variational inequalities, fixed point problems and zeros of finite maximal monotone mappings

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Authors
YangQing Qiu
 Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China.
JinZuo Chen
 Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China.
LuChuan Ceng
 Department of Mathematics, Shanghai Normal University, Shanghai, 200234, China.
Abstract
In this paper, by the strongly positive linear bounded operator technique, a new generalized Manntype
hybrid composite extragradient CQ iterative algorithm is first constructed. Then by using the algorithm,
we find a common element of the set of solutions of the variational inequality problem for a monotone,
Lipschitz continuous mapping, the set of zeros of two families of finite maximal monotone mappings and
the set of fixed points of an asymptotically \(\kappa\)strict pseudocontractive mappings in the intermediate sense
in a real Hilbert space. Finally, we prove the strong convergence of the iterative sequences, which extends
and improves the corresponding previous works.
Share and Cite
ISRP Style
YangQing Qiu, JinZuo Chen, LuChuan Ceng, Strong convergence for a common solution of variational inequalities, fixed point problems and zeros of finite maximal monotone mappings, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 8, 51755188
AMA Style
Qiu YangQing, Chen JinZuo, Ceng LuChuan, Strong convergence for a common solution of variational inequalities, fixed point problems and zeros of finite maximal monotone mappings. J. Nonlinear Sci. Appl. (2016); 9(8):51755188
Chicago/Turabian Style
Qiu, YangQing, Chen, JinZuo, Ceng, LuChuan. "Strong convergence for a common solution of variational inequalities, fixed point problems and zeros of finite maximal monotone mappings." Journal of Nonlinear Sciences and Applications, 9, no. 8 (2016): 51755188
Keywords
 Hybrid method
 extragradient method
 proximal method
 zeros
 strong convergence.
MSC
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