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A generalised quasi-variational inequality without upper semicontinuity

Published online by Cambridge University Press:  17 April 2009

Paolo Cubiotti  and
Xian-Zhi Yuan
Paolo Cubiotti
Affiliation:
Department of Mathematics, University of Messina, 98166 Sant' Agata-Messina, Italy
Xian-Zhi Yuan
Affiliation:
Department of Mathematics, The University of Queensland, Brisbane Qld 4072, Australia
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Abstract

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In this note we deal with the following problem: given a nonempty closed convex subset X of Rn and two multifunctions Γ : X → 2X and , to find ( such that

We prove a very general existence result where neither Γ nor Φ are assumed to be upper semicontinuous. In particular, our result give a positive answer to an open problem raised by the first author recently.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 54 , Issue 2 , October 1996 , pp. 247 - 254
Copyright
Copyright © Australian Mathematical Society 1996

References

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