Equilibrium problems in Hadamard manifolds
An equilibrium theory is developed in Hadamard manifolds. The existence of equilibrium
points for a bifunction is proved under suitable conditions, and applications to variational …
points for a bifunction is proved under suitable conditions, and applications to variational …
Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds
This paper considers optimization problems on Riemannian manifolds and analyzes the
iteration-complexity for gradient and subgradient methods on manifolds with nonnegative …
iteration-complexity for gradient and subgradient methods on manifolds with nonnegative …
Optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds using generalized geodesic convexity
This paper deals with multiobjective semi-infinite programming problems on Hadamard
manifolds. We establish the sufficient optimality criteria of the considered problem under …
manifolds. We establish the sufficient optimality criteria of the considered problem under …
[PDF][PDF] Proximal point methods for quasiconvex and convex functions with Bregman distances on Hadamard manifolds
EAP Quiroz, PR Oliveira - J. Convex Anal, 2009 - Citeseer
This paper generalizes the proximal point method using Bregman distances to solve convex
and quasiconvex optimization problems on noncompact Hadamard manifolds. We will …
and quasiconvex optimization problems on noncompact Hadamard manifolds. We will …
Regularization of proximal point algorithms in Hadamard manifolds
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 …
point algorithms for finding the singularities of maximal monotone set-valued vector fields …
Variational inequalities for set-valued vector fields on Riemannian manifolds: convexity of the solution set and the proximal point algorithm
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 …
Riemannian manifolds. The existence results of the solution, convexity of the solution set …
Existence of solutions for variational inequalities on Riemannian manifolds
We establish the existence and uniqueness results for variational inequality problems on
Riemannian manifolds and solve completely the open problem proposed in [SZ Németh …
Riemannian manifolds and solve completely the open problem proposed in [SZ Németh …
Second-order optimality conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds
BB Upadhyay, A Ghosh… - Asia-Pacific Journal of …, 2024 - World Scientific
This paper is devoted to the study of multiobjective semi-infinite programming problems on
Hadamard manifolds. We consider a class of multiobjective semi-infinite programming …
Hadamard manifolds. We consider a class of multiobjective semi-infinite programming …
Modified inertial Tseng method for solving variational inclusion and fixed point problems on Hadamard manifolds
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 …
finding a singularity point of an inclusion problem which is defined by means of a sum of a …
Global error bounds for mixed quasi-hemivariational inequality problems on Hadamard manifolds
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 …
problems on Hadamard manifolds (in short,(MQHIP)). Some regularized gap functions for …