Sensitivity analysis for relaxed cocoercive nonlinear quasivariational inclusions

DOI10.1155/JAMSA/2006/52041zbMath1120.47056MaRDI QIDQ871348

Ram U. Verma

Publication date: 19 March 2007

Published in: Journal of Applied Mathematics and Stochastic Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/53426

zbMATH Keywords

cocoercive maps

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Sensitivity, stability, parametric optimization (90C31) Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06)

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Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with \((\alpha, \lambda)\)-NODSM mappings in ordered Banach spaces ⋮ Solution sensitivity of generalized nonlinear parametric \((A, \eta, m)\)-proximal operator system of equations in Hilbert spaces ⋮ Equilibria of Parametrized N-Player Nonlinear Games Using Inequalities and Nonsmooth Dynamics ⋮ A system of nonlinear variational inclusions with \((A,\eta )\)-monotone mappings ⋮ Sensitivity analysis for generalized strongly monotone variational inclusions based on the \((A,\eta )\)-resolvent operator technique ⋮ Generalized nonlinear random \((A,\eta)\)-accretive equations with random relaxed cocoercive mappings in Banach spaces ⋮ Stability for a new class of GNOVI with (\(\gamma_G, \lambda\))-weak-GRD mappings in positive Hilbert spaces ⋮ Sensitivity analysis for a new class of generalized parametric nonlinear ordered variational inequality problems in ordered Banach spaces

Cites Work

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• Sensitivity analysis for variational inequalities
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• Sensitivity analysis for strongly nonlinear quasi-variational inclusions
• \(A\)-monotonicity and applications to nonlinear variational inclusion problems
• Nonlinear Variational and Constrained Hemivariational Inequalities Involving Relaxed Operators
• A New System of Set-valued Variational Inclusions with H-Monotone Operators

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