Year: 2009
Author: Yongjie Piao
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 213–222
Abstract
A new concept of finitely continuous topological spaces (in short, FC-space) without convexity structure and linear structure was introduced. Some KKM type theorems in noncompact FC-spaces were obtained, and from which, some section theorems and variational inequality theorems were proved under much weak assumptions. Our results improve and generalize the corresponding conclusions in recent literature.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/2009-CMR-19328
Communications in Mathematical Research , Vol. 25 (2009), Iss. 3 : pp. 213–222
Published online: 2009-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 10
Keywords: FC-space FC-subspace KKM map lower semicontinuous variational inequality.