On the convergence of the dual-type iterative method for mixed variational inequalities

DOI10.1134/S001226610608012XzbMath1174.49301MaRDI QIDQ2480419

O. A. Zadvornov, Ildar B. Badriev

Publication date: 31 March 2008

Published in: Differential Equations (Search for Journal in Brave)

zbMATH Keywords

strongly monotone operatorsmixed variational inequalitiesdual-type iterative method

Mathematics Subject Classification ID

Optimality conditions and duality in mathematical programming (90C46) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

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Efficiently implementable iterative methods for linear elliptic variational inequalities with constraints on the gradient of solution

Cites Work

• A dual algorithm for the solution of nonlinear variational problems via finite element approximation
• Further applications of a splitting algorithm to decomposition in variational inequalities and convex programming
• The solution by iteration of nonlinear functional equations in Banach spaces
• Weak convergence of the sequence of successive approximations for nonexpansive mappings