Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1508-1519 |
| Number of pages | 12 |
| Journal | Turkish Journal of Mathematics |
| Volume | 46 |
| Issue number | 4 |
| DOIs | |
| State | Published - 2022 |
Bibliographical note
Publisher Copyright:© This work is licensed under a Creative Commons Attribution 4.0 International License.
Keywords
- 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)