摘要
研究了一致光滑实Banach空间中含k-次增生映射和φ-强增生映射的一类无紧性条件的广义拟变分包含解的逼近问题,给出了具混合误差的Ishikawa迭代序列强收敛到广义拟变分包含解的特征定理,所得结果改进和推广了近期许多相关结果.
The approximation problem of solutions to a class of generalized quasi-variational inclusions including k-subaccretive mapping and φ-strongly accretive mapping without compactness conditions is investigated. The characterization theorems that the Ishikawa iterative sequences with mixed errors convergences strongly to solutions of quasi-variational inclusions are given. These results improve and generalize many recent known corresponding results.
出处
《宁夏大学学报(自然科学版)》
CAS
北大核心
2008年第4期289-293,共5页
Journal of Ningxia University(Natural Science Edition)
基金
国家自然科学基金资助项目(10271025)
浙江省自然科学基金资助项目(Y606717)
浙江省教育厅科研计划重点资助项目(20061154)
关键词
广义拟变分包含
k-次增生映射
Φ-强增生算子
特征定理
generalized quasi-variational inclusion
k-subaccretive mapping
φ-strongly accretive mapping
characterization theorem