Hybrid algorithm for generalized mixed equilibrium problems and variational inequality problems and fixed point problems

作者：Cai Gang^*; Bu Shangquan

来源：Computers & Mathematics with Applications, 2011, 62(12): 4772-4782.

DOI：10.1016/j.camwa.2011.10.068

• Strong convergence
• General mixed equilibrium problem
• Variational inequality
• Fixed point

In this paper, we introduce a new iterative algorithm by hybrid method for finding a common element of the set of solutions of finite general mixed equilibrium problems and the set of solutions of a general variational inequality problem for finite inverse strongly monotone mappings and the set of common fixed points of infinite family of strictly pseudocontractive mappings in a real Hilbert space. Then we prove strong convergence of the scheme to a common element of the three above described sets. Our result improves and extends the corresponding results announced by many others.

• 出版日期2011-12
• 单位清华大学