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| ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY |
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Citation： |
SHEN Zifei,WU Xian.ON A KIND OF GENERALIZED QUASI-VARIATIONAL INEQUALITIES AND FAN's MINIMAX INEQUALITY WITHOUT CONVEXITY[J].Chinese Annals of Mathematics B,2001,22(3):337~342 |
| Page view： 1162
Net amount： 660 |
Authors： |
SHEN Zifei; WU Xian |
Foundation： |
Project supported by the Foundation of the Technology Commission of Zhejiang Province, China.
(No. 19990500), the National Natural Science Foundation of China, and the Foundation of the
Science and Technology Commission of Yunnan Province, China. |
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| Abstract： |
This paper gives a Fan;s type minimax theorem, a nearest point theorem and two existence
theorems of solutions for a kind of generalized quasi-variational inequalities in H-spaces without
any linear structure. |
Keywords： |
Locally convex H-space, H-convex set, Acyclic set, Almost upper semicontinuous
multivalued mapping |
Classification： |
47H04, 47H10, 49J35, 52A99, 58E35 |
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