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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-821
Full Name: Jing Zhao
Position: Lecturer
Age: ON
Sex: Female
Address: Civil Aviation University of Chian, Tianjin,300300
Country: CHINA
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E-mail address: zhaojing200103@163.com
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Title of the Paper: a new iterative method for equilibrium problems, fixed point problems of infinitely nonexpansive mappings and a general system of variational inequalities
Authors as they appear in the Paper: Jing Zhao, Caiping Yang, Guangxun Liu
Email addresses of all the authors: zhaojing200103@163.com.cpyang@cauc.edu.cn,guangxuanliu@163.com
Number of paper pages: 11
Abstract: In this paper, we introduce a new iterative scheme for finding the common element of the set of common fixed points of infinitely many nonexpansive mappings, the set of solutions of an equilibrium problem and the set of solutions of a general system of variational inequalities for inverse-strongly monotone mappings in Hilbert spaces. We prove that the sequence converges strongly to a common element of the above three sets under some parameters controlling conditions. This main result improve and extend the corresponding results announced by many others. Using this theorem, we obtain three corollaries.
Keywords: Nonexpansive mapping,Equilibrium problem,Fixed point,Inverse-strongly monotone mapping,General system of variational inequality,Iterative algorithm.
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