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Sufficient Efficiency Conditions for Vector Ratio Problem on the Second‐Order Jet Bundle

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  • Ariana Pitea

Abstract

Motivated by its possible applications in mechanics and mechanical engineering, in our previous published work (Pitea and Postolache, 2011), we initiated an optimization theory for the second‐order jet bundle. We considered the problem of minimization of vectors of curvilinear functionals (well known as mechanical work), thought as multitime multiobjective variational problems, subject to PDE and/or PDI constraints. Within this framework, we introduced necessary optimality conditions. As natural continuation of these results, the present work introduces a study of sufficient efficiency conditions.

Suggested Citation

  • Ariana Pitea, 2012. "Sufficient Efficiency Conditions for Vector Ratio Problem on the Second‐Order Jet Bundle," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:713765
    DOI: 10.1155/2012/713765
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    References listed on IDEAS

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    1. Mihai Postolache, 2012. "Minimization of Vectors of Curvilinear Functionals on Second-Order Jet Bundle: Dual Program Theory," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, March.
    2. Mihai Postolache, 2012. "Minimization of Vectors of Curvilinear Functionals on Second‐Order Jet Bundle: Dual Program Theory," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. C. Singh & M.A. Hanson, 1991. "Multiobjective fractional programming duality theory," Naval Research Logistics (NRL), John Wiley & Sons, vol. 38(6), pages 925-933, December.
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