A projection-type method for set valued variational inequality problems on Hadamard manifolds
From MaRDI portal
Publication:346856
DOI10.1007/s00009-016-0725-5zbMath1349.49010OpenAlexW2342981839MaRDI QIDQ346856
Publication date: 30 November 2016
Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00009-016-0725-5
Hadamard manifoldsprojection-type algorithmpseudomonotone vector fieldset-valued variational inequalities
Nonconvex programming, global optimization (90C26) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Convexity of real functions of several variables, generalizations (26B25)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An algorithm for solving a multi-valued variational inequality
- A double projection algorithm for multi-valued variational inequalities and a unified framework of the method
- Singularities of monotone vector fields and an extragradient-type algorithm
- Monotone and accretive vector fields on Riemannian manifolds
- Resolvents of set-valued monotone vector fields in Hadamard manifolds
- Equilibrium problems in Hadamard manifolds
- Existence of solutions for variational inequalities on Riemannian manifolds
- Geodesic convexity in nonlinear optimization
- Existence results for generalized vector equilibrium problems with multivalued mappings via KKM theory
- Smooth nonlinear optimization of \(\mathbb R^n\)
- Variational-like inequalities with generalized monotone mappings in Banach spaces
- Geodesic monotone vector fields
- Combined relaxation methods for variational inequalities
- Variational inequalities on Hadamard manifolds
- Korpelevich's method for variational inequality problems on Hadamard manifolds
- The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
- Existence of solutions for vector optimization on Hadamard manifolds
- Generalized vector quasi-equilibrium problems on Hadamard manifolds
- A projection algorithm for set-valued variational inequalities on Hadamard manifolds
- On the generalized monotonicity of variational inequalities
- Variational-like inequalities with relaxed \(\eta -\alpha\) pseudomonotone mappings in Banach spaces
- Convex- and monotone-transformable mathematical programming problems and a proximal-like point method
- Variational Inequalities for Set-Valued Vector Fields on Riemannian Manifolds: Convexity of the Solution Set and the Proximal Point Algorithm
- Monotone vector fields and the proximal point algorithm on Hadamard manifolds
- A projection-type method for variational inequalities on Hadamard manifolds and verification of solution existence
- Existence results for densely pseudomonotone variational inequalities
