# Interval optimization problems on Hadamard manifolds:Solvability and Duality

## TL;DR

This paper investigates the solvability and duality properties of interval optimization problems on Hadamard manifolds, providing conditions and dual formulations that extend understanding in non-Euclidean optimization contexts.

## Contribution

It introduces new solvability criteria and duality results, including KKT conditions and Wolfe duality, for interval optimization on Hadamard manifolds.

## Key findings

- KKT conditions established for interval optimization on Hadamard manifolds
- Wolfe dual problem formulated with weak and strong duality
- Results extend the solvability theory in non-Euclidean spaces

## Abstract

In this paper, we will study about the solvability and duality of interval optimization problems on Hadamard manifolds. It includes the KKT conditions, and Wofle dual problem with weak duality and strong duality. These results are the complement for the solvability of interval optimization problems on Hadamard manifolds.