Banach空间中一类集值变分包含解的存在与逼近  

The existence and approximation of a class of set-valued variational inclusions in Banach spaces

作　　者：赵富坤[1] 陈劲 

机构地区：[1]云南师范大学数学学院,云南昆明650092 [2]昭通师范专科学校教育系,云南昭通657000

出　　处：《宁夏大学学报（自然科学版）》2003年第1期11-15,共5页Journal of Ningxia University(Natural Science Edition)

基　　金：云南省教育基金资助项目(02ZY071)

摘　　要：研究了Banach空间中具Φ 强增生映象的集值变分包含解的存在与逼近问题.给出了一种新的迭代算法和带有混合误差的Ishikawa型迭代序列收敛到变分包含解的充要条件,并改进和推广了一些近期的结果.The existence and approximation of a class of setvalued variational inclusions with Фstrongly accretive mappings in Banach spaces are studied. A new iterative algorithm is also given. A necessary and sufficient condition that the Ishikawa type iterative sequence with mixed errors converges strongly to the solutions of variational inclusions is established. Some known results are improved and generalized.

关 键 词：BANACH空间 Φ-强增生映象 集值变分包含解 迭代算法 ISHIKAWA型迭代序列 拟-拟变分包含 

分 类 号：O177.91[理学—数学]