Variational inequalities in noncompact nonconvex regions

• Autorzy: Ching-Yan Lin , Liang-Ju Chu
• Języki publikacji: EN

Abstrakty

EN

In this paper, a general existence theorem on the generalized variational inequality problem GVI(T,C,ϕ) is derived by using our new versions of Nikaidô's coincidence theorem, for the case where the region C is noncompact and nonconvex, but merely is a nearly convex set. Equipped with a kind of V₀-Karamardian condition, this general existence theorem contains some existing ones as special cases. Based on a Saigal condition, we also modify the main theorem to obtain another existence theorem on GVI(T,C,ϕ), which generalizes a result of Fang and Peterson.

Słowa kluczowe

EN

Nikaidô's coincidence theorem; variational inequality; nearly convex; V₀-Karamardian condition; Saigal condition; acyclic multifunction; algebraic interior; bounding points

Kategorie tematyczne

• 47H04: Set-valued operators
• 49J35: Minimax problems
• 47H10: Fixed-point theorems
• 49J10: Free problems in two or more independent variables

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae, Differential Inclusions, Control and Optimization
• Rocznik: 2003
• Tom: 23
• Numer: 1
• Strony: 5-19

Daty

wydano

2003

otrzymano

2002-10-25

Twórcy

autor

Ching-Yan Lin

• Center for General Education, National Taipei University of Technology, Taipei, Taiwan, Republic of China

autor

Liang-Ju Chu

• Department of Mathematics, National Taiwan Normal University, Taipei, Taiwan, Republic of China

Bibliografia

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Identyfikatory

DOI

10.7151/dmgt.1042