Abstract
In this article, we introduce and study a new class of generalized convex functions on Riemannian manifold, called strongly -invex and strongly geodesic -preinvex functions. Several kinds of invariant -monotonicities on Riemannian manifold are introduced. We establish the relationships among the strong -invexity, strong geodesic -preinvexity and invariant -monotonicities under suitable conditions. Various types of -invexities for functions on Riemannian manifolds are introduced and relations among them are established.
| Original language | English |
|---|---|
| Pages (from-to) | 1342-1361 |
| Number of pages | 20 |
| Journal | Numerical Functional Analysis and Optimization |
| Volume | 31 |
| Issue number | 12 |
| DOIs | |
| State | Published - Dec 2010 |
Keywords
- Invariant -monotone vector fields
- Riemannian manifold
- Strong -invex function
- Strong geodesic -preinvex function
ASJC Scopus subject areas
- Analysis
- Signal Processing
- Computer Science Applications
- Control and Optimization
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