Equilibrium problems in Hadamard manifolds

V Colao, G López, G Marino… - Journal of Mathematical …, 2012 - Elsevier
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 …

Iteration-complexity of gradient, subgradient and proximal point methods on Riemannian manifolds

GC Bento, OP Ferreira, JG Melo - Journal of Optimization Theory and …, 2017 - Springer
This paper considers optimization problems on Riemannian manifolds and analyzes the
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

BB Upadhyay, A Ghosh, P Mishra… - RAIRO-Operations …, 2022 - rairo-ro.org
This paper deals with multiobjective semi-infinite programming problems on Hadamard
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 …

Regularization of proximal point algorithms in Hadamard manifolds

QH Ansari, F Babu, JC Yao - Journal of Fixed Point Theory and …, 2019 - Springer
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 …

Variational inequalities for set-valued vector fields on Riemannian manifolds: convexity of the solution set and the proximal point algorithm

C Li, JC Yao - SIAM Journal on Control and Optimization, 2012 - SIAM
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 …

Existence of solutions for variational inequalities on Riemannian manifolds

SL Li, C Li, YC Liou, JC Yao - Nonlinear Analysis: Theory, Methods & …, 2009 - Elsevier
We establish the existence and uniqueness results for variational inequality problems on
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 …

Modified inertial Tseng method for solving variational inclusion and fixed point problems on Hadamard manifolds

HA Abass, OK Oyewole, LO Jolaoso… - Applicable …, 2024 - Taylor & Francis
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 …

Global error bounds for mixed quasi-hemivariational inequality problems on Hadamard manifolds

NV Hung, VM Tam, A Pitea - Optimization, 2020 - Taylor & Francis
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 …