Existence and algorithm for solving some generalized mixed variational inequalities

DOI10.1016/S0898-1221(99)00043-7zbMath0938.49007MaRDI QIDQ1962967

Chun Lin Luo, Xie Ping Ding

Publication date: 20 January 2000

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

zbMATH Keywords

convergenceiterative algorithmerror estimatesHilbert spacesauxiliary variational principle techniquegeneralized mixed variational inequalities

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Fuzzy operator theory (47S40)

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Some recent advances in projection-type methods for variational inequalities ⋮ Some results concerning the solution mappings of mixed variational inequality problems ⋮ Perturbed Ishikawa type iterative algorithm for generalized quasivariational inclusions ⋮ Sensitivity analysis for generalized nonlinear implicit quasi-variational inclusions. ⋮ Parametric completely generalized mixed implicit quasi-variational inclusions involving \(h\)-maxi\-mal monotone mappings ⋮ A new class of generalized nonlinear implicit quasivariational inclusions with fuzzy mappings ⋮ A new class of completely generalized quasi-variational inclusions in Banach spaces

Cites Work

• Mixed variational inequalities
• Finite-dimensional variational inequality and nonlinear complementarity problems: A survey of theory, algorithms and applications
• An iterative algorithm for nonlinear variation inequalities
• Some aspects of variational inequalities
• General algorithm for variational inequalities
• Existence of generalized variational inequalities
• Generalized nonlinear variational inequalities with nonmonotone set- valued mappings
• Generalized nonlinear variational inequalities
• On the generalized nonlinear variational inequalities and quasi-variational inequalities
• Multi-valued contraction mappings
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