A new relaxed extragradient-like algorithm for approaching common solutions of generalized mixed equilibrium problems, a more general system of variational inequalities and a fixed point problem

作者：Ke, Yifen; Ma, Changfeng^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 126.

DOI：10.1186/1687-1812-2013-126

• generalized mixed equilibrium problems
• more general system of variational inequalities
• fixed point
• inverse strongly monotone mapping
• strictly pseudocontractive mapping

In this paper, we introduce a new iterative algorithm by the relaxed extragradient-like method for finding a common element of the set of solutions of generalized mixed equilibrium problems, the set of solutions of a more general system of variational inequalities for finite inverse strongly monotone mappings and the set of solutions of a fixed point problem of a strictly pseudocontractive mapping in a Hilbert space. Then we prove strong convergence of the scheme to a common element of the three above described sets.

• 出版日期2013
• 单位福建师范大学