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 …

On constraint qualifications for mathematical programming problems with vanishing constraints on Hadamard manifolds

BB Upadhyay, A Ghosh - Journal of Optimization Theory and Applications, 2023 - Springer
This article is devoted to the study of mathematical programming problems with vanishing
constraints on Hadamard manifolds (in short, MPVC-HM). We present the Abadie constraint …

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 …

Optimality conditions for multiobjective mathematical programming problems with equilibrium constraints on Hadamard manifolds

S Treanţă, BB Upadhyay, A Ghosh, K Nonlaopon - Mathematics, 2022 - mdpi.com
In this paper, we consider a class of multiobjective mathematical programming problems
with equilibrium constraints on Hadamard manifolds (in short,(MMPEC)). We introduce the …

Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Bulletin of the Iranian Mathematical …, 2023 - Springer
In this article, we study a class of nonsmooth multiobjective semi-infinite programming
problems defined on Hadamard manifolds [in short,(NMSIP)]. We present Abadie constraint …

ε-subgradient algorithms for locally lipschitz functions on Riemannian manifolds

P Grohs, S Hosseini - Advances in Computational Mathematics, 2016 - Springer
This paper presents a descent direction method for finding extrema of locally Lipschitz
functions defined on Riemannian manifolds. To this end we define a set-valued mapping …

Constraint qualifications and optimality criteria for nonsmooth multiobjective programming problems on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Journal of Optimization Theory and …, 2024 - Springer
This article deals with a class of constrained nonsmooth multiobjective programming
problems (NMOPP) in the setting of Hadamard manifolds. The generalized Guignard …

Optimality conditions and duality for nonsmooth multiobjective semi-infinite programming problems with vanishing constraints on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Journal of Mathematical Analysis and …, 2024 - Elsevier
This article is concerned with nonsmooth multiobjective semi-infinite programming problems
with vanishing constraints in the setting of Hadamard manifolds (abbreviated …

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 …

Efficiency conditions and duality for multiobjective semi-infinite programming problems on Hadamard manifolds

BB Upadhyay, A Ghosh, S Treanţă - Journal of Global Optimization, 2024 - Springer
This paper is devoted to the study of a class of multiobjective semi-infinite programming
problems on Hadamard manifolds (in short,(MOSIP-HM)). We derive some alternative …