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Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity

Author

Listed:
  • Tiziana Ciano

    (Department of Law, Economics and Human Sciences & Decisions_Lab, University “Mediterranea” of Reggio Calabria, via dell’Universitá, 25, I-89124 Reggio Calabria, Italy
    Faculty of Business and Law, School of Law Richmond Bulding Portland Street, University of Portsmouth, Portsmouth P013DE, UK
    These authors contributed equally to this work.)

  • Massimiliano Ferrara

    (Department of Law, Economics and Human Sciences & Decisions_Lab, University “Mediterranea” of Reggio Calabria, via dell’Universitá, 25, I-89124 Reggio Calabria, Italy
    Department of Management and Technology, ICRIOS-The Invernizzi Centre for Research in Innovation, Organization, Strategy and Entrepreneurship Bocconi University, via Sarfatti, 25, I-20136 Milano, Italy)

  • Ştefan Mititelu

    (Department of Mathematics and Informatics, University of Bucharest, 010014 Bucharest, Romania)

  • Bruno Antonio Pansera

    (Department of Law, Economics and Human Sciences & Decisions_Lab, University “Mediterranea” of Reggio Calabria, via dell’Universitá, 25, I-89124 Reggio Calabria, Italy)

Abstract

In the paper, we analyze the necessary efficiency conditions for scalar, vectorial and vector fractional variational problems using curvilinear integrals as objectives and we establish sufficient conditions of efficiency to the above variational problems. The efficiency sufficient conditions use of notions of the geodesic invex set and of (strictly, monotonic) ( ρ , b)-geodesic quasiinvex functions.

Suggested Citation

  • Tiziana Ciano & Massimiliano Ferrara & Ştefan Mititelu & Bruno Antonio Pansera, 2020. "Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity," Mathematics, MDPI, vol. 8(7), pages 1-15, June.
    • Handle: RePEc:gam:jmathe:v:8:y:2020:i:7:p:1054-:d:378378
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    References listed on IDEAS

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    1. Constantin Udrişte & Andreea Bejenaru, 2011. "Riemannian convexity of functionals," Journal of Global Optimization, Springer, vol. 51(2), pages 361-376, October.
    2. Ariana Pitea & Mihai Postolache, 2012. "Duality theorems for a new class of multitime multiobjective variational problems," Journal of Global Optimization, Springer, vol. 54(1), pages 47-58, September.
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