Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces

被引：1
作者：
G. Isac
Li Jin-lu
机构：
[1] Royal Military College of Canada,Department of Mathematics
[2] Shawnee State University,Department of Mathematics
来源：
Journal of Zhejiang University-SCIENCE A | 2005年 / 6卷 / 4期
关键词：
Exceptional family of elements (EFE); Banach spaces and complementarity; A; O221;
D O I：
10.1631/BF02842058
中图分类号：
学科分类号：
摘要：
The notion of “exceptional family of elments (EFE)” plays a very important role in solving complementarity problems. It has been applied in finite dimensional spaces and Hilbert spaces by many authors. In this paper, by using the generalized projection defined by Alber, we extend this notion from Hilbert spaces to uniformly smooth and uniformly convex Banach spaces, and apply this extension to the study of nonlinear complementarity problems in Banach spaces.
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页码：289 / 295
页数：6
相关论文
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