关于带扰动映像的广义平衡问题与k-严格伪压缩映像的不动点问题的强收敛定理

Strong Convergence Theorem for a Generalized Equilibrium Problem with Perturbed Mapping and a Fixed Point Problem of k-Strict Pseudocontraction

在Hilbert空间中提出一种新的迭代算法,用于寻求带扰动映像的广义平衡问题与k-严格伪压缩映像的不动点问题的公共解.此外,证明了由此迭代算法生成的序列的强收敛性.所得到的结果,推广并改进了最近一些人所发布的新结果.

The main purpose of this paper common element of the set of the solutions mapping and the set of the fixed points of is to propose a new iterative algorithm for finding a of a generalized equilibrium problem with perturbed a k-strict pseudocontractive mapping in the Hilbert space. Further more, the strong convergence of the sequence generated by this iterative algorithm is proved. The results presented extend and improve the corresponding results announced by many others.