Sensitivity analysis for generalized nonlinear parametric \((A,\eta ,m)\)-maximal monotone operator inclusion systems with relaxed cocoercive type operators

DOI10.1016/j.na.2010.08.049zbMath1203.49036OpenAlexW2064317079MaRDI QIDQ608391

Heng-you Lan

Publication date: 25 November 2010

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2010.08.049

zbMATH Keywords

sensitive analysis\eta , m)\)-maximal monotone operator inclusion systemexistence and continuity theoremgeneralized nonlinear parametric \((Aparametric resolvent operator techniquerelaxed cocoercive operator

Mathematics Subject Classification ID

Sensitivity, stability, well-posedness (49K40) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33)

Related Items (5)

Graph-convergent analysis of over-relaxed \((A, \eta, m)\)-proximal point iterative methods with errors for general nonlinear operator equations ⋮ A Nonlinearly Preconditioned Forward-Backward Splitting Method and Applications ⋮ Solution sensitivity of generalized nonlinear parametric \((A, \eta, m)\)-proximal operator system of equations in Hilbert spaces ⋮ New approximation-solvability of general nonlinear operator inclusion couples involving \((A, \eta , m)\)-resolvent operators and relaxed cocoercive type operators ⋮ Existence and stability of iterative algorithm for a system of random set-valued variational inclusion problems involving \((A, m, \eta)\)-generalized monotone operators

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