Next Article in Journal
Estimation of Beta-Pareto Distribution Based on Several Optimization Methods
Previous Article in Journal
Estimation of Uncertainty in Mortality Projections Using State-Space Lee-Carter Model

This is an early access version, the complete PDF, HTML, and XML versions will be available soon.

Open AccessArticle

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

1
Department of Law, Economics and Human Sciences & Decisions_Lab, University “Mediterranea” of Reggio Calabria, via dell’Universitá, 25, I-89124 Reggio Calabria, Italy
2
Faculty of Business and Law, School of Law Richmond Bulding Portland Street, University of Portsmouth, Portsmouth P013DE, UK
3
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, [email protected] (M.F.)
4
Department of Mathematics and Informatics, University of Bucharest, 010014 Bucharest, Romania
*
Author to whom correspondence should be addressed.
These authors contributed equally to this work.
Mathematics 2020, 8(7), 1054; https://doi.org/10.3390/math8071054
Received: 25 May 2020 / Revised: 16 June 2020 / Accepted: 24 June 2020 / Published: 30 June 2020
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 curvilinear integrals; geodesic quasiinvexity; Riemannian manifolds; efficient solution
MDPI and ACS Style

Ciano, T.; Ferrara, M.; Mititelu, Ş.; Pansera, B.A. Efficiency for Vector Variational Quotient Problems with Curvilinear Integrals on Riemannian Manifolds via Geodesic Quasiinvexity. Mathematics 2020, 8, 1054.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Search more from Scilit
 
Search
Back to TopTop