Iterative algorithms for variational inclusions, mixed equilibrium and fixed point problems with application to optimization problems

作者：Yao Yonghong^*; Cho Yeol Je; Liou Yeong Cheng

来源：Central European Journal of Mathematics, 2011, 9(3): 640-656.

DOI：10.2478/s11533-011-0021-3

• Variational inclusion
• Mixed equilibrium problem
• Fixed point
• Optimization problem
• Nonexpansive mapping
• Strong convergence

In this paper, we introduce an iterative algorithm for finding a common element of the set of solutions of a mixed equilibrium problem, the set of fixed points of a nonexpansive mapping, and the the set of solutions of a variational inclusion in a real Hilbert space. Furthermore, we prove that the proposed iterative algorithm converges strongly to a common element of the above three sets, which is a solution of a certain optimization problem related to a strongly positive bounded linear operator.

• 出版日期2011-6
• 单位天津工业大学