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Two approaches toward constrained vector optimization and identity of the solutions

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  • 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)

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    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.

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    File URL: http://eco.uninsubria.it/dipeco/Quaderni/files/QF2004_22.pdf
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    Bibliographic Info

    Paper provided by Department of Economics, University of Insubria in its series Economics and Quantitative Methods with number qf04013.

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    Length: 15 pages
    Date of creation: Jul 2004
    Date of revision:
    Handle: RePEc:ins:quaeco:qf04013

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