Abstract
In this paper, we formulate and prove necessary and sufficient conditions of geodesic efficiency associated with a new class of multiobjective fractional variational control problems governed by geodesic quasiinvex path-independent curvilinear integral functionals and mixed constraints involving first order PDE of m-flow type. Under \( \displaystyle (\rho , b) \)-geodesic quasiinvexity assumptions, by using the new notion of (normal) geodesic efficient solution, we set sufficient conditions of geodesic efficiency for a feasible solution in the considered variational control problems.
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Treanţă, S., Mititelu, Ş. Efficiency for variational control problems on Riemann manifolds with geodesic quasiinvex curvilinear integral functionals. RACSAM 114, 113 (2020). https://doi.org/10.1007/s13398-020-00842-2
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DOI: https://doi.org/10.1007/s13398-020-00842-2
Keywords
- Fractional variational control problem
- Geodesic efficient solution
- (\(\rho , b\)) -geodesic invexity
- (\(\rho , b\)) -geodesic quasiinvexity