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 …

This paper deals with multiobjective semi-infinite programming problems on Hadamard
manifolds. We establish the sufficient optimality criteria of the considered problem under …

Bearing in mind the notion of monotone vector field on Riemannian manifolds, see [12--16],
we study the set of their singularities and for a particularclass of manifolds develop an …

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 …

In this paper, we study the Karush–Kuhn–Tucker optimality conditions in an optimization
problem with interval-valued objective function on Hadamard manifolds. The gH-directional …

In this paper, we introduce and study a class of mixed quasi-hemivariational inequality
problems on Hadamard manifolds (in short,(MQHIP)). Some regularized gap functions for …

In this paper, we present a new approach to the proximal point method in the Riemannian
context. In particular, without requiring any restrictive assumptions about the sign of the …

In this article, we present the proximal point method for finding minima of a special class of
nonconvex function on a Hadamard manifold. The well definedness of the sequence …