Implicit methods for equilibrium problems on Hadamard manifolds

DOI10.1155/2012/437391zbMath1247.58008OpenAlexW2169719927WikidataQ58905890 ScholiaQ58905890MaRDI QIDQ442925

Saira Zainab, Muhammad Aslam Noor, Yonghong Yao

Publication date: 6 August 2012

Published in: Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/437391

zbMATH Keywords

implicit methodpseudomonotonicityequilibrium problems on Hadamard manifolds

Mathematics Subject Classification ID

Implicit function theorems; global Newton methods on manifolds (58C15)

Related Items

Mixed equilibrium problems on Hadamard manifolds ⋮ The existence of solution for equilibrium problems in Hadamard manifolds ⋮ Explicit iterative method for variational inequalities on Hadamard manifolds ⋮ Strong convergence theorems for maximal monotone operators, fixed-point problems, and equilibrium problems ⋮ Maximal element with applications to Nash equilibrium problems in Hadamard manifolds ⋮ Strong convergence for monotone bilevel equilibria with constraints of variational inequalities and fixed points using subgradient extragradient implicit rule

Cites Work

• Some aspects of extended general variational inequalities
• Proximal point methods for solving mixed variational inequalities on the Hadamard manifolds
• On an implicit method for nonconvex variational inequalities
• Resolvents of set-valued monotone vector fields in Hadamard manifolds
• Iterative algorithms for general multivalued variational inequalities
• Strong convergence of a modified extragradient method to the minimum-norm solution of variational inequalities
• Equilibrium problems in Hadamard manifolds
• Auxiliary principle technique for equilibrium problems
• Extended general variational inequalities
• General variational inequalities
• Some aspects of variational inequalities
• New approximation schemes for general variational inequalities
• Nonsmooth analysis and Hamilton--Jacobi equations on Riemannian manifolds
• Variational inequalities on Hadamard manifolds
• Some developments in general variational inequalities
• On a class of nonconvex equilibrium problems
• The proximal point algorithm for pseudomonotone variational inequalities on Hadamard manifolds
• Proximal Point Algorithm On Riemannian Manifolds
• Fundamentals of equilibrium problems
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item