In recent years, many traditional optimization methods have been successfully generalized
to minimize objective functions on manifolds. In this paper, we first extend the general …

In this paper, a notion of generalized gradient on Riemannian manifolds is considered and a
subdifferential calculus related to this subdifferential is presented. A characterization of the …

In this paper, a subgradient type algorithm for solving convex feasibility problem on
Riemannian manifold is proposed and analysed. The sequence generated by the algorithm …

The results presented in this book are a product of research conducted by the author
independently and in collaboration with other researchers in the field. In this light, this work …

The purpose of this paper is to establish some new results on the Levitin–Polyak well-
posedness to a class of split hemivariational inequality problems on Hadamard manifolds …

The aim of this paper is to show the existence and attainability of Karush–Kuhn–Tucker
optimality conditions for weakly efficient Pareto points for vector equilibrium problems with …

In this paper, we introduce the notion of convexificators in the framework of Hadamard
manifolds. We derive some calculus rules for convexificators on Hadamard manifolds and …

In this paper, a relationship between a vector variational inequality and a vector optimization
problem is given on a Hadamard manifold. An existence of a weak minimum for a …

We present the notion of weakly metrically regular functions on manifolds. Then, a sufficient
condition for a real valued function defined on a complete Riemannian manifold to be …

This paper is intended to study the vector variational inequalities on Hadamard manifolds.
Generalized Minty and Stampacchia vector variational inequalities are introduced involving …