A Kantorovich-type convergence analysis of the Newton-Josephy method for solving variational inequalities

DOI10.1007/s11075-010-9364-2zbMath1209.65067OpenAlexW2171880084MaRDI QIDQ607520

Saïd Hilout, Ioannis K. Argyros

Publication date: 22 November 2010

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-010-9364-2

zbMATH Keywords

Variational inequalitiesWalrasian equilibriumNewton-Kantorovich hypothesisConvergence conditionsConvergence domainelastoplastic structuresFrechet derivativeMajorizing sequenceNash EquilibriumNewton-Josephy methodSemilocal convergence resultUpper bound

Mathematics Subject Classification ID

Newton-type methods (49M15) Numerical methods for variational inequalities and related problems (65K15)

Related Items (1)

Expanding the applicability of the Kantorovich's theorem for solving generalized equations using Newton's method

Cites Work

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• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• Inexact Josephy-Newton framework for generalized equations and its applications to local analysis of Newtonian methods for constrained optimization
• A nonsmooth Newton method for variational inequalities. I: Theory
• A nonsmooth Newton method for variational inequalities. II: Numerical results
• On the Newton-Kantorovich hypothesis for solving equations
• A unifying local-semilocal convergence analysis and applications for two-point Newton-like methods in Banach space
• A continuation method for monotone variational inequalities
• Kantorovich theorem for variational inequalities
• Convergence and Applications of Newton-type Iterations
• Strongly Regular Generalized Equations
• Generalized equations and their solutions, Part I: Basic theory
• A new proximal-based globalization strategy for the Josephy‐Newton method for variational inequalities
• A hybrid Josephy — Newton method for solving box constrained variational equality roblems via the D-gap function
• Extensions of Kantorovich theorem to complementarity problem

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