依中间意义渐近严格拟Ф-伪压缩映像及广义均衡问题的强收敛性  

Convergence theorems for the equilibrium problem and asymptotically strict quasi Ф-pseudo contraction mappings in the intermediate sense

作　　者：王元恒[1] 秦苗苗[1] 

机构地区：[1]浙江师范大学数理与信息工程学院,浙江金华321004

出　　处：《浙江师范大学学报（自然科学版）》2016年第1期18-27,共10页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11271330);浙江省自然科学基金资助项目(LY14A010011)

摘　　要：主要在更广泛的Banach空间中引入一种新的迭代格式,用于逼近一族依中间意义渐近严格拟?-伪压缩映像不动点与广义均衡问题解的公共点,并在一定条件下证明了这种迭代算法的强收敛性.其结果推广和改进了一些近代已有的结果.It was introduced an hybrid iterative process which converges strongly to a common element of the set of fixed points of a family of asymptotically strict quasi φ-pseudo contraction mappings in the intermediate sense and the solution set of the generalized equilibrium problem in Bananch spaces.The results extended and improved some results obtained by other authors.

关 键 词：渐近严格拟Ф-伪压缩映像 广义均衡问题解 广义f-投影算子 混杂迭代程序 强收敛性 

分 类 号：O177.91[理学—数学]