Stability of iterative processes with errors for a system of nonlinear \((A,\eta )\)-accretive variational inclusions in Banach spaces

DOI10.1016/j.camwa.2007.12.007zbMath1145.49302OpenAlexW2063306553MaRDI QIDQ950060

Heng-you Lan

Publication date: 22 October 2008

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2007.12.007

zbMATH Keywords

resolvent operator techniqueconvergence and stability\((A\eta)\)-accretive mappingA system of general mixed quasivariational inclusionsperturbed iterative algorithm with mixed errors

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25)

Related Items (11)

Iterative algorithm with mixed errors for solving a new system of generalized nonlinear variational-like inclusions and fixed point problems in Banach spaces ⋮ New approximation methods for solving elliptic boundary value problems via Picard-Mann iterative processes with mixed errors ⋮ Total Asymptotically Nonexpansive Mappings and Generalized Variational Inclusion Problems: Algorithmic and Analytical Approach ⋮ \((H, \phi)\)-\(\eta\)-accretive mappings and a new system of generalized variational inclusions with \((H, \phi)\)-\(\eta\)-accretive mappings in Banach spaces ⋮ New perturbed finite step iterative algorithms for a system of extended generalized nonlinear mixed quasi-variational inclusions ⋮ Unnamed Item ⋮ A new system of nonlinear fuzzy variational inclusions involving \((A,\eta )\)-accretive mappings in uniformly smooth Banach spaces ⋮ 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 ⋮ Variational convergence of a new proximal algorithm for nonlinear general \(A\)-monotone operator equation systems in Banach spaces ⋮ Approximation methods for solutions of generalized multi-valued mixed quasi-variational inclusion systems

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