Convergence analysis of a method for variational inclusions

DOI10.1080/00036811.2011.618127zbMath1264.47074OpenAlexW2011836736WikidataQ58257926 ScholiaQ58257926MaRDI QIDQ3143367

Chong Li, Mohammed Harunor Rashid, Jin-Hua Wang

Publication date: 29 November 2012

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036811.2011.618127

zbMATH Keywords

set-valued mappingslocal convergencevariational inclusionsdivided differencepseudo-Lipschitz continuity

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Nonlinear programming (90C30) Set-valued and variational analysis (49J53) Iterative procedures involving nonlinear operators (47J25) Numerical methods for variational inequalities and related problems (65K15) Variational and other types of inclusions (47J22)

Related Items (4)

Secant-inexact projection algorithms for solving a new class of constrained mixed generalized equations problems ⋮ Extended Newton-type method for nonsmooth generalized equation under \((n, \alpha)\)-point-based approximation ⋮ A local fixed point theorem for set-valued mappings on partial metric spaces ⋮ On the convergence of extended Newton-type method for solving variational inclusions

Cites Work

• Local convergence of some iterative methods for generalized equations.
• Regularity and conditioning of solution mappings in variational analysis
• Stability of a cubically convergent method for generalized equations
• Local convergence of Newton-like methods for generalized equations
• Lipschitz Behavior of Solutions to Convex Minimization Problems
• On the convergence of some methods for variational inclusions
• Lipschitzian properties of multifunctions
• Engineering and Economic Applications of Complementarity Problems

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