A perturbed algorithm for strongly nonlinear variational-like inclusions

DOI10.1017/S0004972700018931zbMath0979.49008MaRDI QIDQ4761492

No author found.

Publication date: 20 February 2001

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

convergencemonotone operatorvariational-like inclusionperturbed iterative algorithm\(\eta\)-subdifferential

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40)

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Cites Work

• Unnamed Item
• General strongly nonlinear variational inequalities
• A class of nonconvex functions and pre-variational inequalities
• Existence of generalized variational inequalities
• A perturbed algorithm for variational inclusions
• Nonconvex functions and variational inequalities
• Perturbed algorithms and sensitivity analysis for a general class of variational inclusions
• On the general variational inequality
• Necessary optimality conditions with a modified subdifferential
• Variational-like inequalities