Hilbert空间中拟非扩张映像族的逼近定理

Hilbert空间中拟非扩张映像族的逼近定理 Approximating Theorems for a Family of Quasi-Nonexpansive Mappings in a Hilbert Space 高兴慧 GAO Xinghui1 1 first-author 周海云 ZHOU Haiyun2 2 延安大学数学与计算机科学学院 延安大学数学与计算机科学学院 College of Mathematics and Computer Science,Yan’an University,Yan’an College of Mathematics and Computer Science,Yan’an University,Yan’an 石家庄军械工程学院数学系 石家庄军械工程学院数学系 Department of Mathematics,Shijiazhuang Mechanical Engineering College Department of Mathematics,Shijiazhuang Mechanical Engineering College 在Hilbert空间中,设计了一种新算法用以逼近拟非扩张映像族的公共不动点,并利用所提出的算法证明了拟非扩张映像族的公共不动点的逼近定理,所得结果改进和推广了一些最近文献的相关结果. In this paper,we propose a new algorithm of common fixed points for a family of quasi-nonexpansive mappings in a Hilbert space.By using the proposed algorithm,we study the approximation of common fixed points for a family of quasi-nonexpansive mappings.The results of this paper improve and extend the recent corresponding results. 拟非扩张映像族 不动点 逼近性 Hilbert空间 a family of quasi-nonexpansive mappings fixed point approximation Hilbert spaces 10.14188/j.1671-8836.2011.02.014 O177.1 国家自然科学基金资助项目（10771050） 2011-02-01 2021-04-01 2 57