Banach空间中的隐式集值变分包含  

Implicit Set-valued Variational Inclusions in Banach Spaces

作　　者：滕兴虎[1] 张晓岚[2] 

机构地区：[1]解放军理工大学理学院数理系,江苏南京211101 [2]徐州师范大学数学系,江苏徐州221116

出　　处：《徐州师范大学学报（自然科学版）》2002年第3期5-11,共7页Journal of Xuzhou Normal University(Natural Science Edition)

摘　　要：在Banach空间中研究了一类新的变分包含———隐式集值变分包含问题 .运用预解算子的方法 ,讨论隐式集值变分包含与预解方程的等价性 ,在紧性条件下证明了隐式变分包含问题解的存在性定理 ,给出迭代解的计算方法 ,并把所得的结果推广到非紧的情形 .这些结论推广。In this paper, a new type of variational inclusion named implicit set valued variational inclusion is studied in real Banach spaces. By applications of the method of resolvent operators, equivalence of variational inclusions with resolvent equations is discussed, existence and iterative approximation of solusions of implicit set valued variational inclusions are proved in compact and non compact conditions respectively. With the results presented here, a number of recent results are generalized, improved and unified.

关 键 词：变分包含 集值 BANACH空间 隐式 解的存在性 紧性 预解方程 题解 证明 结论 

分 类 号：O177[理学—数学] O241.81[理学—基础数学]