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Banach空间中拟-似变分包含解的存在与逼近问题
引用本文:赵富坤,陈劲.Banach空间中拟-似变分包含解的存在与逼近问题[J].应用泛函分析学报,2003,5(4):299-306.
作者姓名:赵富坤  陈劲
作者单位:1. 云南师范大学数学学院,云南,昆明,650092
2. 昭通师范专科学校,云南,昭通,657000
摘    要:研究了Banach空间中拟-似变分包含解的存在与逼近问题.给出了一种寻求解的新的迭代算法,建立了具混合误差的Ishikawa型迭代序列强收敛到解的充要条件.所得结果推广了一些相关的结果.

关 键 词:拟-似变分包含问题  Ф-强增生映象  具混合误差的Ishikawa型迭代序列

Existence and Approximation Problems of Solutions for Quasi-Variational-Like Inclusions in Banach Spaces
ZHAO Fu-kun,CHEN Jing.Existence and Approximation Problems of Solutions for Quasi-Variational-Like Inclusions in Banach Spaces[J].Acta Analysis Functionalis Applicata,2003,5(4):299-306.
Authors:ZHAO Fu-kun  CHEN Jing
Abstract:The purpose of this paper is to study the problem of exisitence and approximation for solutions of the quasi-variational-like inclusions in Banach spaces. A new iterative algorithm for finding solutions is obtained. We establish a necessary and sufficient condition that the Ishikawa type iterative sequences with mixed errors convergences strongly to solutions. These results generalize and improve many known results.
Keywords:quasi-variational-like inclusion problem  Ishikawa type iterative sequence with mixed errors
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