Optimality and duality with generalized convexity Authors
Cite this article as: Rueda, N.G., Hanson, M.A. & Singh, C. J Optim Theory Appl (1995) 86: 491. doi:10.1007/BF02192091 Abstract
Hanson and Mond have given sets of necessary and sufficient conditions for optimality and duality in constrained optimization by introducing classes of generalized convex functions, called type I and type II functions. Recently, Bector defined univex functions, a new class of functions that unifies several concepts of generalized convexity. In this paper, optimality and duality results for several mathematical programs are obtained combining the concepts of type I and univex functions. Examples of functions satisfying these conditions are given.
Key Words Generalized convexity duality fractional programming multiobjective programming minmax programming
Communicated by R. A. Tapia
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© Plenum Publishing Corporation 1995