Iterative approximation of zeroes of monotone operators and system of generalized mixed equilibrium problems

作者：Shehu Yekini^*

来源：Optimization Letters, 2012, 6(7): 1485-1497.

DOI：10.1007/s11590-011-0343-x

• Generalized mixed equilibrium problems
• Inverse-strongly monotone
• Hybrid method
• Banach spaces

In this paper, we construct a new iterative scheme by hybrid method for approximation of common element of set of zeroes of a finite family of alpha-inverse-strongly monotone operators and set of common solutions to a system of generalized mixed equilibrium problems in a 2-uniformly convex real Banach space which is also uniformly smooth. Then, we prove strong convergence of the scheme to a common element of the two sets.

• 出版日期2012-10