Limiting subdifferential calculus and perturbed distance function in Riemannian manifolds
M Farrokhiniya, A Barani - Journal of Global Optimization, 2020 - Springer
We provide definitions for Fréchet ε ε-subdifferential and Fréchet ε ε-normals set for functions
and sets in the Riemannian manifolds. Then we generalize the notions of Mordukhovich …
and sets in the Riemannian manifolds. Then we generalize the notions of Mordukhovich …
Characterization of solution sets of convex optimization problems in Riemannian manifolds
A Barani, S Hosseini - Archiv der Mathematik, 2020 - Springer
Characterization of solution sets of convex optimization problems in Riemannian manifolds |
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New formulas for subdifferentials of perturbed distance functions
We give exact formulas for the subdifferentials of perturbed distance functions in a normed
space. Our method, seemingly novel and different from existing ones, is to turn the involved …
space. Our method, seemingly novel and different from existing ones, is to turn the involved …
On the regularity of sets in Riemannian manifolds
A Sepahvand, A Barani - Journal of the Australian Mathematical …, 2021 - cambridge.org
This paper is devoted to the study of the normal (tangential) regularity of a closed set and the
subdifferential (directional) regularity of its distance function in the context of Riemannian …
subdifferential (directional) regularity of its distance function in the context of Riemannian …
Generalized submonotonicity and approximately convexity in Riemannian manifolds
The notions of submonotone mappings, lower-C^ 1 C 1, semismooth and approximately
convex functions are investigated in context of Riemannian manifolds. It is shown that the …
convex functions are investigated in context of Riemannian manifolds. It is shown that the …
Subdifferentials of distance function outside of target set in Riemannian manifolds
F Malmir, A Barani - Bulletin of the Iranian Mathematical Society, 2022 - Springer
In this paper some subdifferentials of distance function from a closed subset in points
outside of the target set are introduced in the context of Riemannian manifolds. The …
outside of the target set are introduced in the context of Riemannian manifolds. The …