Vector variational inequalities and vector optimization problems on Hadamard manifolds

DOI10.1007/s11590-015-0896-1zbMath1353.90137OpenAlexW2021995894MaRDI QIDQ276326

Nan-Jing Huang, Sheng-lan Chen

Publication date: 3 May 2016

Published in: Optimization Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11590-015-0896-1

zbMATH Keywords

vector variational inequalitiesHadamard manifoldgeodesic convexitynonsmooth vector optimization

Mathematics Subject Classification ID

Multi-objective and goal programming (90C29) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (16)

Extragradient method and golden ratio method for equilibrium problems on Hadamard manifolds ⋮ A study on vector variational-like inequalities using convexificators and application to its bi-level form ⋮ Proximal point method for vector optimization on Hadamard manifolds ⋮ On Minty variational principle for nonsmooth multiobjective optimization problems on Hadamard manifolds ⋮ Vector variational inequalities on Riemannian manifolds with approximate geodesic star-shaped functions ⋮ An extragradient-type algorithm for variational inequality on Hadamard manifolds ⋮ Existence results for vector variational inequality problems on Hadamard manifolds ⋮ A gap function and existence of solutions for a non-smooth vector variational inequality on Hadamard manifolds ⋮ Vector variational inequalities on Hadamard manifolds involving strongly geodesic convex functions ⋮ Parallel proximal point methods for systems of vector optimization problems on Hadamard manifolds without convexity ⋮ Existence results for a class of hemivariational inequality problems on Hadamard manifolds ⋮ Extragradient-like method for pseudomonotone equilibrium problems on Hadamard manifolds ⋮ Vector variational inequality with pseudoconvexity on Hadamard manifolds ⋮ A revision on geodesic pseudo-convex combination and Knaster-Kuratowski-Mazurkiewicz theorem on Hadamard manifolds ⋮ Optimality conditions and duality for multiobjective semi-infinite programming on Hadamard manifolds ⋮ Mixed variational inequality interval-valued problem: theorems of existence of solutions

Cites Work

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• Generalized gradients and characterization of epi-Lipschitz sets in Riemannian manifolds
• Singularities of monotone vector fields and an extragradient-type algorithm
• Generalized Minty vector variational-like inequalities and vector optimization problems
• Existence of solutions for vector optimization problems
• Existence and continuity of solutions for vector optimization
• On the generalized vector variational inequality problem
• Vector variational inequalities and vector equilibria. Mathematical theories
• Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
• Variational inequalities on Hadamard manifolds
• Existence of solutions for vector optimization on Hadamard manifolds
• Generalized vector quasi-equilibrium problems on Hadamard manifolds
• Vector variational-like inequalities and non-smooth vector optimization problems
• Generalized vector variational-like inequalities and vector optimization in Asplund spaces
• Recent Developments in Vector Optimization
• Variational Inequalities for Set-Valued Vector Fields on Riemannian Manifolds: Convexity of the Solution Set and the Proximal Point Algorithm
• Nonsmooth analysis on smooth manifolds
• Monotone vector fields and the proximal point algorithm on Hadamard manifolds
• Vector variational inequality as a tool for studying vector optimization problems
• Directional derivatives and generalized gradients on manifolds
• Proximal Point Algorithm On Riemannian Manifolds
• Proximal point method for a special class of nonconvex functions on Hadamard manifolds

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