【摘要】 最近,Hu C S和Cai G~[7]在Hilbert空间的框架下提出并分析了两个迭代算法用于寻求平衡问题,可数无穷多非扩张映像公共不动点问题和可数无穷多α_t-逆-强单调映像组成的变分不等式问题的公共解.该文在Hilbert空间中引入一个新的迭代算法用于寻求可数无穷多α_i-逆-强单调映像组成的两个平衡问题和可数无穷多非扩张映像公共不动点问题的公共解.证明了一些强收敛性结果,这些结果推广了Hu Changsong和Cai Gang的结果(2010).更多还原

【Abstract】 Very recently,Hu C S and Cai G^[7] suggested and analyzed two iterative schemes for finding a common element of the set of solutions of an equilibrium problem,the set of common fixed points for a family of infinitely nonexpansive mappings and the set of solutions of the variational inequality for an infinite family of α_i-inverse-strongly monotone mappings in the framework of Hilbert space.In this paper,we introduce a new iterative scheme for finding a common element of the sets of solutions of two equilibrium problems for two infinite families of inverse-strongly monotone mappings and the set of common fixed points for a family of infinitely nonexpansive mappings in a Hilbert space.Then we prove some strong convergence theorems which extend and improve Hu Changsong and Cai Gang’s results（2010）.更多还原