Bulletin of the Australian Mathematical Society

Research Article

Duality in nonconvex vector minimum problems

T.R. Gulatia1 and Nadia Talaata2

a1 Department of Mathematics, University of Roorkee, Roorkee, India 247667

a2 Department of Mathematics, University of Alexandria, Egypt

Abstract

A nonlinear vector minimum problem is considered. Duality theorems are proved for Mond-Weir type dual and their application to a certain nonlinear fractional vector minimum problem is discussed.

(Received December 22 1990)