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Sufficiency and Duality in Multiobjective Programming under Generalized Type I Functions

Author

Listed:
  • T. R. Gulati

    (Indian Institute of Technology)

  • I. Ahmad

    (Aligarh Muslim University)

  • D. Agarwal

    (Indian Institute of Technology)

Abstract

In this paper, new classes of generalized (F,α,ρ,d)-V-type I functions are introduced for differentiable multiobjective programming problems. Based upon these generalized convex functions, sufficient optimality conditions are established. Weak, strong and strict converse duality theorems are also derived for Wolfe and Mond-Weir type multiobjective dual programs.

Suggested Citation

  • T. R. Gulati & I. Ahmad & D. Agarwal, 2007. "Sufficiency and Duality in Multiobjective Programming under Generalized Type I Functions," Journal of Optimization Theory and Applications, Springer, vol. 135(3), pages 411-427, December.
    • Handle: RePEc:spr:joptap:v:135:y:2007:i:3:d:10.1007_s10957-007-9271-4
    DOI: 10.1007/s10957-007-9271-4
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    References listed on IDEAS

    as
    1. Jean-Philippe Vial, 1983. "Strong and Weak Convexity of Sets and Functions," Mathematics of Operations Research, INFORMS, vol. 8(2), pages 231-259, May.
    2. VIAL, Jean-Philippe, 1983. "Strong and weak convexity of sets and functions," LIDAM Reprints CORE 529, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
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