Title
Exceptional family of elements and the solvability of complementary problems in uniformly smooth and uniformly convex Banach spaces
Document Type
Article
Publication Date
4-1-2005
Abstract
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.
Recommended Citation
Li, Jinlu, "Exceptional family of elements and the solvability of complementary problems in uniformly smooth and uniformly convex Banach spaces" (2005). Faculty Emeritus. 11.
https://digitalcommons.shawnee.edu/fac_emeritus/11