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Two approaches toward constrained vector optimization and identity of the solutions

Author

Listed:
  • Crespi Giovanni P.

    () (Facoltà di Scienze Economiche Aosta, Italy)

  • Ginchev Ivan

    () (Department of Mathematics Varna, Bulgaria)

  • Rocca Matteo

    () (Department of Economics, University of Insubria, Italy)

Abstract

In this paper we deal with a Fritz John type constrained vector optimization problem. In spite that there are many concepts of solutions for an unconstrained vector optimization problem, we show the possibility “to double” the number of concepts when a constrained problem is considered. In particular we introduce sense I and sense II isolated minimizers, properly efficient points, efficient points and weakly efficient points. As a motivation leading to these concepts we give some results concerning optimality conditions in constrained vector optimization and stability properties of isolated minimizers and properly efficient points. Our main investigation and results concern relations between sense I and sense II concepts. These relations are proved mostly under convexity type conditions. Key words: Constrained vector optimization, Optimality conditions, Stability, Type of solutions and their identity, Vector optimization and convexity type conditions.

Suggested Citation

  • Crespi Giovanni P. & Ginchev Ivan & Rocca Matteo, 2004. "Two approaches toward constrained vector optimization and identity of the solutions," Economics and Quantitative Methods qf04012, Department of Economics, University of Insubria.
  • Handle: RePEc:ins:quaeco:qf04012
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    1. Alan M Rugman & Alain Verbeke, 1992. "A Note on the Transnational Solution and the Transaction Cost Theory of Multinational Strategic Management," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 23(4), pages 761-771, December.
    2. Kendall Roth & Allen J Morrison, 1992. "Implementing Global Strategy: Characteristics of Global Subsidiary Mandates," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 23(4), pages 715-735, December.
    3. Jon I Martinez & J Carlos Jarillo, 1991. "Coordination Demands of International Strategies," Journal of International Business Studies, Palgrave Macmillan;Academy of International Business, vol. 22(3), pages 429-444, September.
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