Hybrid Proximal-Point Methods for Common Solutions of Equilibrium Problems and Zeros of Maximal Monotone Operators

作者：Ceng, L C; Mastroeni, G; Yao, J C^*

来源：Journal of Optimization Theory and Applications, 2009, 142(3): 431-449.

DOI：10.1007/s10957-009-9538-z

• Hybrid proximal-point algorithms
• Equilibrium problem
• Maximal monotone operators
• Uniformly smooth and uniformly convex Banach spaces
• Strong convergence
• Weak convergence
• Generalized projection

The purpose of this paper is to introduce and study two hybrid proximal-point algorithms for finding a common element of the set of solutions of an equilibrium problem and the set of solutions to the equation 0 is an element of T x for a maximal monotone operator T in a uniformly smooth and uniformly convex Banach space X. Strong and weak convergence results of these two hybrid proximal-point algorithms are established, respectively.

• 出版日期2009-9
• 单位上海师范大学; 上海大学; 中山大学