Subdifferentials of perturbed distance function in Riemannian manifolds

ABSTRACT

The notions of perturbed optimization problem and perturbed distance function are introduced in Riemannian manifolds. Some characterizations of Fréchet and proximal subdifferentials of perturbed distance function in the context of Riemannian manifolds are given.

KEYWORDS:

• Fréchet subdifferential
• proximal subdifferential
• perturbed distance function
• well-posedness
• Riemannian manifolds

AMS SUBJECT CLASSIFICATIONS:

• 58C05
• 58C99

Disclosure statement

No potential conflict of interest was reported by the author.