广义混合均衡问题与严格伪压缩映像不动点的公共元的迭代算法

Generalized Mixed Equilibrium Problems and Iterative Algorithm for the Common Elements of the Fixed Points of the Strictly Pseudocontractive Mappings

在Hilbert空间的框架下,利用收缩投影方法,引入关于广义混合均衡问题的一种迭代算法,证明了由算法生成的迭代序列的收敛性.同时通过该迭代算法求得广义混合均衡问题的解集与无限族k-严格伪压缩映像的不动点集的公共解.所得结果改进和推广了迭代算法现有结果.

An iterative algorithm for the generalized mixed equilibrium problems is introduced in Hilhert spaces by the contraction projection method. The convergence of the iterative series obtained by the algorithm is proved. The iterative algorithm is used to determine the common solutions of both the sets of the generalized mixed equilibrium problems and the fixed point sets of the unlimited families of the k- strictly pseudocontractive mappings, which has improved and popularized the existing results.