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 …

We investigate how the following properties are related to each other: i) A manifold is
“transversally” exponentially stable; ii) the “transverse” linearization along any solution in the …

We study how convergence of an observer whose state lives in a copy of the given system's
space can be established using a Riemannian metric. We show that the existence of 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 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 …

In this paper, we investigate the proximal point algorithm (in short PPA) for variational
inequalities with pseudomonotone vector fields on Hadamard manifolds. Under weaker …

This paper provides a study of 2-Killing vector fields on warped product manifolds as well as
characterization of this structure on standard static and generalized Robertson–Walker …

This article is the third and final component of a three-part effort on observers contracting a
Riemannian distance between the state of the system and its estimate. In Part I, we showed …

Optimization has been becoming a central of studies in mathematic and has many areas
with different applications. However, many themes of optimization came from different area …