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The zero duality gap property and lower semicontinuity of the perturbation function

- Rubinov, Alex, Huang, X. X., Yang, Xiao

  • Authors: Rubinov, Alex , Huang, X. X. , Yang, Xiao
  • Date: 2002
  • Type: Text , Journal article
  • Relation: Mathematics of Operations Research Vol. 27, no. 4 (2002), p. 775-791
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  • Description: We examine the validity of the zero duality gap properties for two important dual schemes: a generalized augmented Lagrangian dual scheme and a nonlinear Lagrange-type dual scheme. The necessary and sufficient conditions for the zero duality gap property to hold are established in terms of the lower semicontinuity of the perturbation functions.
  • Description: 2003000117

Difference inclusions with delay of economic growth

- Dzalilov, Zari, Ivanov, Anatoli, Rubinov, Alex

  • Authors: Dzalilov, Zari , Ivanov, Anatoli , Rubinov, Alex
  • Date: 2001
  • Type: Text , Journal article
  • Relation: Dynamic Systems and Applications Vol. 10 , no. (2001), p. 283-293
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  • Description: A difference inclusion wit.h delay is proposed as a modified model of maeroe<.'onomical growth. The classical assumpt.ion of t.he homogeneity of the nonlinear feedback involved in the model implies t.he existence of a ray of equilibria. Any dynamics in the model is shown to be convergent. t.o either an equilibrium on the ray or to the zero equilibrium.
  • Description: C1
  • Description: 2003002561

Equilibrium with fixed budgets and superlinear connections

- Rubinov, Alex, Glover, Barney

  • Authors: Rubinov, Alex , Glover, Barney
  • Date: 2001
  • Type: Text , Journal article
  • Relation: ANZIAM Journal Vol. 42, no. 4 (2001), p. 462-480
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  • Description: We study models of economic equilibrium with fixed budgets and assuming superlinear connections between consumption and production. Extremal problems and the existence of equilibria are discussed for such models along with some related differential properties. Examples to illustrate the broad nature of the model are discussed. © Australian Mathematical Society 2001.