The maximal monotonicity notion in Banach spaces is extended to Riemannian manifolds of
nonpositive sectional curvature, Hadamard manifolds, and proved to be equivalent to the …

The notion of variational inequalities is extended to Hadamard manifolds and related to
geodesic convex optimization problems. Existence and uniqueness theorems for variational …

In this paper, we consider the regularization method for exact as well as for inexact proximal
point algorithms for finding the singularities of maximal monotone set-valued vector fields …

We consider variational inequality problems for set-valued vector fields on general
Riemannian manifolds. The existence results of the solution, convexity of the solution set …

We establish the existence and uniqueness results for variational inequality problems on
Riemannian manifolds and solve completely the open problem proposed in [SZ Németh …

The relationship between monotonicity and accretivity on Riemannian manifolds is studied
in this paper and both concepts are proved to be equivalent in Hadamard manifolds. As a …

Firmly nonexpansive mappings are introduced in Hadamard manifolds, a particular class of
Riemannian manifolds with nonpositive sectional curvature. The resolvent of a set-valued …

In this article, we introduce a forward–backward splitting method with a new step size rule for
finding a singularity point of an inclusion problem which is defined by means of a sum of a …

This paper deals with the proximal point algorithm for finding a singularity of sum of a single-
valued vector field and a set-valued vector field in the setting of Hadamard manifolds. The …

In this article, we consider an inclusion problem which is defined by means of a sum of a
single-valued vector field and a set-valued vector field defined on a Hadamard manifold. We …