Strong geodesic convex function and strong monotone vector field of order m on Riemannian manifolds are established. A characterization of strong geodesic convex function of order m for the continuously differentiable functions is discussed. The relation between the solution of a new variational inequality problem and the strict minimizers of order m for a multiobjective programing problem is also established.
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© 2019, © 2019 Taylor & Francis Group, LLC.
- Geodesic convex function
- Riemannian manifolds
- monotone vector field
- variational inequality problem
ASJC Scopus subject areas
- Signal Processing
- Computer Science Applications
- Control and Optimization