Journal of Optimization Theory and Applications

, Volume 86, Issue 2, pp 491–500

Optimality and duality with generalized convexity

  • N. G. Rueda
  • M. A. Hanson
  • C. Singh
Contributed Papers

DOI: 10.1007/BF02192091

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 convexitydualityfractional programmingmultiobjective programmingminmax programming

Copyright information

© Plenum Publishing Corporation 1995

Authors and Affiliations

  • N. G. Rueda
    • 1
  • M. A. Hanson
    • 2
  • C. Singh
    • 3
  1. 1.Department of Mathematics and Computer ScienceMerrimack CollegeNorth Andover
  2. 2.Department of StatisticsFlorida State UniversityTallahassee
  3. 3.Department of MathematicsSt. Lawrence UniversityCanton