J Austral Math Soc Ser A 46 pp229--235, 1989.

Proper Efficiency in Linear Vector Maximum Problems with Nonlinear Constraints

T. R. Gulati and M. A. Islam

(Received 6 April 1987)

Abstract

A linear vector maximum problem with nonlinear constraints is considered. A condition is derived which is not necessary for an efficient solution and sufficient for a properly efficient solution of this problem. This leads to sufficient conditions for an efficient solution to be properly efficient. An example is discussed at the end.

1980 AMS Subject Classification (1985 Revision): 90C31, 90C30

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Authors

T. R. Gulati: Department of Mathematics, University of Roorkee, Roorkee 247667, India.
M. A. Islam: Department of Mathematics, University of Dhaka, Dhaka-2, Bangladesh.

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Last Modified: Wed Feb 19 10:27:49 2003