Abstract
In this article, we introduce the interval optimization problems (lOPs) on Hadamard manifolds as well as study the relationship between them and the interval variational inequalities. To achieve the theoretical results, we build up some new concepts about gH-directional derivative and jff-Gateaux differentiability of interval valued functions and their properties on the Hadamard manifolds. The obtained results pave a way to further study on Riemannian interval optimization problems (RIOPs).
| Original language | English |
|---|---|
| Pages (from-to) | 2489-2511 |
| Number of pages | 23 |
| Journal | Journal of Nonlinear and Convex Analysis |
| Volume | 24 |
| Issue number | 11 |
| Publication status | Published - 2023 |
Keywords
- Hadamard manifolds
- interval valued function
- interval variational inequalities
- set valued function on manifolds
ASJC Scopus subject areas
- Analysis
- Geometry and Topology
- Control and Optimization
- Applied Mathematics