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Variational inequalities in noncompact nonconvex regions

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Lin C.-Y., Chu L.-J.

Discussiones Mathematicae, Differential Inclusions, Control and Optimization

2003

tom 23

nr 1

5-19

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.

Ograniczanie wyników

1 Discussiones Mathematicae, Differential Inclusions, Control and Optimization

1 Chu L.-J.

1 Lin C.-Y.

1 2003

Wyniki wyszukiwania

Variational inequalities in noncompact nonconvex regions