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On a complementarity problem associated with nondifferentiable programming

Published online by Cambridge University Press:  17 February 2009

B. D. Craven
Affiliation:
Department of Mathematics, University of Melbourne, Parkville, Victoria3052
B. Mond
Affiliation:
Department of Mathematics, La Trobe University, Bundoora, Victoria3083.
J. Parida
Affiliation:
Department of Mathematics, Regional Engineering College, Rourkela 769 008, India. (The contribution of this author was made while he was a visitor to the University of Melbourne.)
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Abstract

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This paper deals with the question of the existence of a solution to the stationary-point problem corresponding to a given nonlinear nondifferentiable program. An existence theorem for the stationary-point problem is presented under some convexity and regularity conditions on the functions involved, which also guarantee an optimal solution to the nonlinear program.

Information

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984