带扰动映像的广义平衡问题和不动点问题的混合粘性逼近问题

Hybrid Viscosity Approximation Methods for Generalized Equilibrium Problems with Perturbed Mapping and Fixed Point Problems

引入一个用于寻求带扰动映像的广义平衡问题解集以及可数无穷多非扩张映像之族公共不动点集的公共解的新的迭代算法.证明了由此算法生成的序列的强收敛性.所得的结果推广改进了先前许多作者的结果.

The authors introduce a new iterative scheme for finding a common element of the set of solutions of generalized equilibrium problems with perturbed mapping and the set of common fixed points of a family of infinite non-expansive mappings. Strong convergence of the sequence generated by this iterative scheme is proven. The results presented in this paper improve and extend the corresponding results announced by many authors.