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A nonlinear complementarity problem for monotone functions

Published online by Cambridge University Press:  17 April 2009

Sribatsa Nanda  and
Ujagar Patel
Sribatsa Nanda
Affiliation:
Department of Mathematics, Regional Engineering College, Rourkela, Orissa, India;
Ujagar Patel
Affiliation:
Department of Mathematics, Gangadhar Meher College, Sambalpur, Orissa, India.
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Abstract

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In this note we prove that for a monotone function that fixes the origin, the complementarity problem for Cn always admits a solution. If, moreover, the function is strictly monotone, then zero is the unique solution. These results are stronger than known results in this direction for two reasons: firstly, there is no condition on the nature of the cone and secondly, no feasibility assumptions are made.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 20 , Issue 2 , April 1979 , pp. 227 - 231
Copyright
Copyright © Australian Mathematical Society 1979

References

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