An iterative approach to mixed equilibrium problems and fixed points problems

作者：Yao, Yonghong; Liou, Yeong-Cheng; Kang, Shin Min^*

来源：Fixed Point Theory and Applications, 2013, 2013(1): 183.

DOI：10.1186/1687-1812-2013-183

• mixed equilibrium problem
• fixed point problem
• minimization problem
• strictly pseudo-contractive mapping

In the present paper, an iterative algorithm for solving mixed equilibrium problems and fixed points problems has been constructed. It is shown that under some mild conditions, the sequence generated by the presented algorithm converges strongly to the common solution of mixed equilibrium problems and fixed points problems. As an application, we can find the minimum norm element without involving projection.
MSC: 47J05, 47J25, 47H09.

• 出版日期2013
• 单位天津工业大学