We propose a globally-accelerated, first-order method for the optimization of smooth and
(strongly or not) geodesically-convex functions in a wide class of Hadamard manifolds. We …

Hermite–Hadamard and Ostrowski Type Inequalities on Hemispheres Page 1 Mediterr. J. Math.
13 (2016), 4253–4263 DOI 10.1007/s00009-016-0743-3 1660-5446/16/064253-11 published …

In this paper, by using the inexact scalarization proximal methods, we solve quasiconvex
multiobjective optimization problems on Hadamard manifolds. Under some assumptions on …

We give a definition of weak geodesics on prox-regular subsets of Riemannian manifolds as
continuous curves with some weak regularities. Then obtaining a suitable Lipschitz constant …

The notions of perturbed optimization problem and perturbed distance function are
introduced in Riemannian manifolds. Some characterizations of Fréchet and proximal …

Full article: Convexity of the Solution Set of a Pseudoconvex Inequality in Riemannian
Manifolds Skip to Main Content Taylor and Francis Online homepage Taylor and Francis Online …

In this paper, we prove that every locally minimizing curve with constant speed in a prox-
regular subset of a Riemannian manifold is a weak geodesic. Moreover, it is shown that …

We obtain a characterization of the proximal normal cone to a prox-regular subset of a
Riemannian manifold and some properties of Bouligand tangent cones to these sets are …

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 …

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 …