Nonlinear parametric multi-valued variational inclusion systems involving \((A,\eta )\)-accretive mappings in Banach spaces

DOI10.1016/j.na.2007.07.021zbMath1357.49039OpenAlexW2029933452MaRDI QIDQ938740

Heng-you Lan

Publication date: 27 August 2008

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.2007.07.021

zbMATH Keywords

sensitive analysisrelaxed cocoercive mappingparametric resolvent operator technique\((A, \eta )\)-accretive mappingnonlinear parametric multi-valued variational inclusion system

Mathematics Subject Classification ID

Sensitivity (robustness) (93B35) Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Monotone operators and generalizations (47H05) Set-valued and variational analysis (49J53) Nonlinear accretive operators, dissipative operators, etc. (47H06) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Set-valued operators (47H04)

Related Items (5)

Solution sensitivity of generalized nonlinear parametric \((A, \eta, m)\)-proximal operator system of equations in Hilbert spaces ⋮ Sensitivity analysis for generalized nonlinear parametric \((A,\eta ,m)\)-maximal monotone operator inclusion systems with relaxed cocoercive type operators ⋮ Resolvent algorithms for system of generalized nonlinear variational inclusions and fixed point problems ⋮ Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces ⋮ The solvability of a new system of nonlinear variational-like inclusions

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