Generalized mixed quasivariational inclusions and generalized mixed resolvent equations for fuzzy mappings.

DOI10.1016/S0096-3003(03)00192-9zbMath1044.65057OpenAlexW2015075233MaRDI QIDQ1426196

Lokenath Debnath, Ume, Jeong Sheok, Kang, Shin Min, Liu, Zeqing

Publication date: 14 March 2004

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0096-3003(03)00192-9

zbMATH Keywords

resolvent operator techniquemaximal monotone mappingfixed-point problemsFuzzy mappingGeneralized mixed quasivariational inclusionGeneralized mixed resolvent equationRelaxed Lipschitz mapping

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Variational inequalities (49J40) Numerical methods of relaxation type (49M20)

Related Items (6)

Solvability and iterative algorithms for a system of generalized nonlinear mixed quasivariational inclusions with \((H_i,{\eta}_i)\)-monotone operators ⋮ Auxiliary principle for generalized nonlinear variational-like inequalities ⋮ Fuzzy nonlinear set-valued variational inclusions ⋮ Existence of solutions for generalized nonlinear mixed variational-like inequalities in Banach spaces ⋮ Existence and iterative approximations of solutions for mixed quasi-variational-like inequalities in Banach spaces ⋮ Convergence and stability of three-step iterative scheme with errors for completely generalized strongly nonlinear quasivariational inequalities

Cites Work

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• A perturbed algorithm of variational inclusions for fuzzy mappings
• Generalized strongly quasivariational inequalities for fuzzy mappings
• Completely generalized strongly quasivariational inequalities for fuzzy mappings
• Multi-valued contraction mappings
• On the monotonicity of the gradient of a convex function
• Generalized Variational Inequalities and Associated Nonlinear Equations
• Generalized quasi-variational inequalities for fuzzy mappings

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