Iterative method for fixed point problem, variational inequality and generalized mixed equilibrium problems with applications

作者：Shehu Yekini^*

来源：Journal of Global Optimization, 2012, 52(1): 57-77.

DOI：10.1007/s10898-011-9679-0

• Nonexpansive Mappings
• Generalized mixed equilibrium problem
• Variational Inequality
• Hilbert spaces

In this paper, we introduce a new iterative scheme for finding a common element of the set of fixed points of a nonexpansive mapping, the set of solution of generalized mixed equilibrium problem and the set of solutions of the variational inequality problem for a co-coercive mapping in a real Hilbert space. Then strong convergence of the scheme to a common element of the three sets is proved. Furthermore, new convergence results are deduced and finally we apply our results to solving optimization problems and present other applications.

• 出版日期2012-1