赋范线性空间拟增生算子方程解的存在性和收敛性  

The existence and convergence of solution of Equation with quasi-accretive operator in a real normed linear space

作　　者：刘锡标[1] 徐裕光 

机构地区：[1]云南财贸学院金融系,云南昆明650221 [2]昆明师专数学系,云南昆明650031

出　　处：《云南师范大学学报（自然科学版）》2004年第4期8-11,共4页Journal of Yunnan Normal University:Natural Sciences Edition

摘　　要：　文章的目的是引入Φ-拟增生算子——一类比重要的ф-强增生算子更一般的算子,并研究Φ-拟增生算子方程迭代解的存在性和迭代序列的收敛问题。研究结果表明:在实赋范线性空间中,算子的一致连续性保证了算子解的存在性和迭代序列收敛性。The purpose of this paper is to introduce Quasi-accretive operators—a class of operators which is much more general than the important class of strongly accretive operators, and to study simultaneously the existence of iteration solution and the convergence of iteration sequence for accretive operator equations. The results presented in this paper show that the uniformly continuity of operator ensures the existence of solution and the convergence of iteration sequence in a real normed linear space.

关 键 词：Ф-拟增生算子 一致连续性Ishikawa迭代序列 

分 类 号：O211.6[理学—概率论与数理统计]