… variational inequality in terms of a bifunction in the setting of Hadamard manifolds. We first
… We also introduce a gap function for nonsmooth variational inequality problem and discuss …

… the notion of hemivariational inequality on Hadamard manifolds. As an attempt of exploring
the theory of hemivariational inequality on Hadamard manifolds, this paper mainly concerns …

… to critical singular quasilinear elliptic problems, sharp constants, … manifold with (possibly
nonempty) boundary ∂M. Assume M is isometrically immersed in a Hadamard manifold M and …

… of non-positive sectional curvature is named a Hadamard manifold. Throughout this paper,
we assume that M is a Hadamard manifold, the following results are well known and will be …

… We say that a metric space satisfies the Ptolemy inequality, … our Hadamard space to be locally
compact; see Problem 6.4. … matrices (which form a Hadamard manifold as we noted above…

… the problem of finding a singularity of a multivalued vector field in a Hadamard manifold
and … Finally, an application to variational inequality problems is proved for vector fields on a …

… The aim of this paper is to introduce an inexact proximal point method for variational inequality
problem in Hadamard manifolds and to study its convergence properties. The proposed …

… vector variational inequalities and nonsmooth convex vector optimization problems, and …
of convex vector optimization problems on Hadamard manifolds with constant curvature. …

… complementarity problems, optimization problems, the problem of … problems in applied
fields can be formulated as variational inequalities or boundary value problems on manifolds, …

… vector variational inequality, a Stampacchia type vector variational inequality, … on Hadamard
manifolds. We also study the equivalent relations between the vector variational inequalities …