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

Tiziana Ciano, Massimiliano Ferrara, Ştefan Mititelu and Bruno Antonio Pansera
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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
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
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

Mathematics, 2020, vol. 8, issue 7, 1-15

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.

Keywords: curvilinear integrals; geodesic quasiinvexity; Riemannian manifolds; efficient solution (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2020
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