渐近非扩张映射不动点与均衡解的公共迭代Halpern型方法  

The common iterative Halpern’s type method for fixed points and equilibrium solutions of asymptotically nonexpansive mappings

作　　者：王元恒 陈灵法 WANG Yuanheng;CHEN Lingfa(College of Mathematics and Computer Science,Zhejiang Normal University,Jinhua 321004,China)

机构地区：[1]浙江师范大学数学与计算机科学学院

出　　处：《浙江师范大学学报（自然科学版）》2019年第2期121-128,共8页Journal of Zhejiang Normal University:Natural Sciences

基　　金：国家自然科学基金资助项目(11671365);浙江省自然科学基金资助项目(LY14A010011)

摘　　要：在Hilbert空间中研究了渐近非扩张映射不动点与均衡问题解的公共元的求法,应用Halpern型迭代算法构造了一种新的转型迭代序列,并在较弱的条件下证明了该序列的强收敛性,其结果具有更广泛的适应性,一些近代结果是它的特殊情况.It was studied the approximation of a common element of the set of solutions of equilibrium problems and fixed points of asymptotically nonexpansive mappings in real Hilbert spaces.By using Halpern′s type iterative algorithm,a new transformation iterative sequence was constructed.Under suitable weaker conditions,the strong convergence of the sequence was obtained.The results had a wider adaptability and include some recent results as their special cases.

关 键 词：渐近非扩张映射 均衡问题 不动点 Halpern型迭代 

分 类 号：O177.91[理学—数学]