• Title/Summary/Keyword: Wolfe type duality

Search Result 3, Processing Time 0.057 seconds

ON VARIATIONAL PROBLEMS INVOLVING HIGHER ORDER DERIVATIVES

  • HUSAIN I.;JABEEN Z.
    • Journal of applied mathematics & informatics
    • /
    • v.17 no.1_2_3
    • /
    • pp.433-455
    • /
    • 2005
  • Fritz John, and Karush-Kuhn-Tucker type optimality conditions for a constrained variational problem involving higher order derivatives are obtained. As an application of these Karush-Kuhn-Tucker type optimality conditions, Wolfe and Mond-Weir type duals are formulated, and various duality relationships between the primal problem and each of the duals are established under invexity and generalized invexity. It is also shown that our results can be viewed as dynamic generalizations of those of the mathematical programming already reported in the literature.

MULTIOBJECTIVE CONTINUOUS PROGRAMMING CONTAINING SUPPORT FUNCTIONS

  • Husain, I.;Ahmed, A.;Rumana, G. Mattoo
    • Journal of applied mathematics & informatics
    • /
    • v.27 no.3_4
    • /
    • pp.603-619
    • /
    • 2009
  • Wolfe and Mond-Weir type dual to a nondifferentiable continuous programming containing support functions are formulated and duality is investigated for these two dual models under invexity and generalized invexity. A close relationship of our duality results with those of nondifferentiable nonlinear programming problem is also pointed out.

  • PDF

ON NONLINEAR PROGRAMMING WITH SUPPORT FUNCTIONS

  • Husain, I.;Abha;Jabeen, Z.
    • Journal of applied mathematics & informatics
    • /
    • v.10 no.1_2
    • /
    • pp.83-99
    • /
    • 2002
  • Optimality conditions are derived for a nonlinear program in which a support function appears in the objective as well as in each constraint function. Wolfe and Mond-Weir type duals to this program are presented and various duality results are established under suitable convexity and generalized convexity assumptions. Special cases that often occur in the literature are those in which a support function is the square root of a positive semi- definite quadratic form or an Lp norm. It is pointed out that these special cases can easily be generated from our results.