一类集值变分包含问题解的存在性  

Existence of Solutions for a Class of Set-valued Variational Inclusions

作　　者：吴梅花[1] 

机构地区：[1]内蒙古民族大学数学学院,内蒙古通辽028043

出　　处：《内蒙古民族大学学报（自然科学版）》2010年第2期127-129,共3页Journal of Inner Mongolia Minzu University：Natural Sciences

摘　　要：本文引入了一类p-η映射,应用与p-η映射相关的预解算子的一些性质研究一类新的集值变分包含问题.首先给出这类集值变分包含问题与一个不动点问题的等价性,然后借助于Banach压缩映射原理得到此类集值变分包含问题的解的存在性.In this paper,we introduce a class of p - η mapping .Using some properties of resolvent operator associated with p - η mapping, we study a new class of set-valued variational inclusions. The goal is to show the equivalence of the new class of set-valued variational inclusions and a fixed point problem, and to get the existence of solutions for the new class of set-valued variational inclusions by Banach contraction mapping theorem.

关 键 词：p-η映射 集值变分包含 预解算子 BANACH空间 

分 类 号：O176[理学—数学]