不动点集和零点集公共元的强弱收敛性  

Strong and Weak Convergence for Common Elements of Fixed Point Sets and Zero Point Sets

作　　者：张丽娟[1] 佟慧[1] 

机构地区：[1]河北大学数学与计算机学院,保定071002

出　　处：《数学学报（中文版）》2015年第4期601-612,共12页Acta Mathematica Sinica：Chinese Series

基　　金：国家自然科学基金(11201110;11401157);河北省自然科学基金(A2012201054);河北省教育厅优秀青年基金(Y2012021)

摘　　要：在Hilbert空间中,为了找到渐近严格伪压缩映射的不动点集,极大单调算子与逆强单调映射和的零点集的公共元,文中引进两种迭代格式,在某些条件下得到迭代序列的强弱收敛定理.We introduce two iterative schemes for finding common elements of the fixed point set of asymptotically strictly pseudocontractive mappings and the zreo point set of the operator which is the sum of inverse strongly monotone mappings and maximal monotone operators in a Hilbert space. We obtain strong and weak theorem for common element of the two sets under some conditions.

关 键 词：渐近严格伪压缩映射 逆强单调映射 极大单调算子 非扩张映射 不动点 

分 类 号：O177.91[理学—数学]