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A note on a theorem on a nonlinear complementarity problem

Published online by Cambridge University Press:  17 April 2009

Sudarsan Nanda
Sudarsan Nanda
Affiliation:
Department of Mathematics, Indian Institute of Technology, Kharagpur 721302, India.
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Abstract

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In the paper “A nonlinear complementarity problem for monotone functions”, Bull. Austral. Math. Soc. 20 (1979), 227–231, Nanda and Patel proved that for a monotone function that fixes the origin, the complementarity problem admits a solution. In this note we give a short proof of the same result under weaker assumptions.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 27 , Issue 2 , April 1983 , pp. 161 - 163
Copyright
Copyright © Australian Mathematical Society 1983

References

[1]Hartman, Philip and Stampacchia, Guido, “On some nonlinear elliptic differential-functional equations”, Acta Math. 115 (1966), 271–310.CrossRefGoogle Scholar
[2]Nanda, Sribatsa and Nanda, Sudarsan, “A complex nonlinear complementarity problem”, Bull. Austral. Math. Soc. 19 (1978), 437–444.Google Scholar
[3]Nanda, Sribatsa and Patel, Ujagar, “A nonlinear complementarity problem for monotone functions”, Bull. Austral. Math. Soc. 20 (1979), 227–231.Google Scholar