CLC number: O221
On-line Access: 2024-08-27
Received: 2023-10-17
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ISAC G., LI Jin-lu. Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces[J]. Journal of Zhejiang University Science A, 2005, 6(4): 289-295.
@article{title="Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces",
author="ISAC G., LI Jin-lu",
journal="Journal of Zhejiang University Science A",
volume="6",
number="4",
pages="289-295",
year="2005",
publisher="Zhejiang University Press & Springer",
doi="10.1631/jzus.2005.A0289"
}
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%T Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces
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%I Zhejiang University Press & Springer
%DOI 10.1631/jzus.2005.A0289
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T1 - Exceptional family of elements and the solvability of complementarity problems in uniformly smooth and uniformly convex Banach spaces
A1 - ISAC G.
A1 - LI Jin-lu
J0 - Journal of Zhejiang University Science A
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%@ 1673-565X
Y1 - 2005
PB - Zhejiang University Press & Springer
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DOI - 10.1631/jzus.2005.A0289
Abstract: The notion of “exceptional family of elements (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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