Iterative algorithms based on the viscosity approximation method for equilibrium and constrained convex minimization problem

作者：Tian Ming^*; Liu Lei

来源：Fixed Point Theory and Applications, 2012, 2012(1): 1-17.

DOI：10.1186/1687-1812-2012-201

• iterative algorithm
• equilibrium problem
• constrained convex minimization
• variational inequality

The gradient-projection algorithm (GPA) plays an important role in solving constrained convex minimization problems. Based on the viscosity approximation method, we combine the GPA and averaged mapping approach to propose implicit and explicit composite iterative algorithms for finding a common solution of an equilibrium and a constrained convex minimization problem for the first time in this paper. Under suitable conditions, strong convergence theorems are obtained.
MSC: 46N10, 47J20, 74G60.

• 出版日期2012
• 单位中国民航大学