Iterative approximation of solutions for a class of completely generalized set-valued quasi-variational inclusions

DOI10.1016/j.camwa.2008.01.026zbMath1155.65355OpenAlexW1986587408MaRDI QIDQ1004765

Jen-Chih Yao, Lu-Chuan Ceng, Sy-Ming Guu

Publication date: 12 March 2009

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2008.01.026

zbMATH Keywords

resolvent equation\(m\)-accretive mappingquasi-variational inequalityquasi-variational inclusion

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Numerical optimization and variational techniques (65K10) Variational inequalities (49J40)

Related Items (7)

Extragradient method for convex minimization problem ⋮ Relaxed extragradient methods for systems of variational inequalities ⋮ Algorithms for general system of generalized resolvent equations with corresponding system of variational inclusions ⋮ Perturbed iterative approximation of solutions for nonlinear general \(A\)-monotone operator equations in Banach spaces ⋮ General \(A\)-monotone operators and perturbed iterations for nonlinear set-valued relaxed cocoercive operator inclusion problems ⋮ A unified extragradient method for systems of hierarchical variational inequalities in a Hilbert space ⋮ On a finite family of variational inclusions with the constraints of generalized mixed equilibrium and fixed point problems

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• Generalized nonlinear variational inclusions with noncompact valued mappings
• Multi-valued contraction mappings
• The Mann process for perturbed \(m\)-accretive operators in Banach spaces

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