We introduce a new class of sets named, slack 2-geodesic convex set on Riemannian manifolds and verify by a nontrivial example. We define a geodesic E-pseudoconvex function with a suitable example. Some properties of geodesic E-quasiconvex function are discussed. We establish some relationships between slack 2-geodesic convex set, geodesic E-pseudoconvex function and geodesic E-quasiconvex function. Moreover, an application of geodesic E-quasiconvex function to a nonlinear programming problem is also presented.
Bibliographical notePublisher Copyright:
© This work is licensed under a Creative Commons Attribution 4.0 International License.
- Geodesic e-convex function
- Geodesic e-quasiconvex function
- Geodesic epseudoconvex function
- Global minima
- Riemannian manifolds
- Slack 2-geodesic convex set
ASJC Scopus subject areas
- Mathematics (all)