严格伪压缩映像不动点和均衡问题的公共元的迭代算法

均衡问题的解在最优化理论及应用中具有十分重要的意义。物理学和经济学中的很多问题可归结为寻找平衡问题的解。有关非线性算子不动点的迭代构造问题及混合均衡问题的求解方法，许多学者进行了研究。利用杂交投影算法，用以逼近Hilbert空间中严格伪压缩映像不动点集与混合均衡问题解集的公共元，并证明其强收敛性。此算法的最终投影具有显示表达，因而更有利于应用。所得结果改进和推广了最近一些文献的相应结果。

An Iteration Algorithm of Common Elements for Fixed Points About Strict Pseudo contractive Mappings and Equilibrium Problems

The solutions to equilibrium problems is very important in the theory of optimization and application. Many problems in physics and economics can be ultimately converted to finding a solution to equilibrium problems. Much work has been done in recent years to find iterative schemes to approximate fixed points of nonlinear mappings and the solutions about equilibrium problems. A hybrid projection algorithm is proposed to approximate common elements for the set of fixed points of a strict pseudo contractive mapping and the set of solutions to a mixed equilibrium problem in Hilbert spaces, and then its convergence is proved. The iteration algorithm is an explicit expression, so it is of great benefit for application. The results obtained in this paper extend and improve some recent results in this area.