Perturbed Mann iterative method with errors for a new system of generalized nonlinear variational-like inclusions

DOI10.1016/j.mcm.2009.08.041zbMath1190.49013OpenAlexW1973537902MaRDI QIDQ984118

Min Liu, Sunhong Lee, Liu, Zeqing, Kang, Shin Min

Publication date: 16 July 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2009.08.041

zbMATH Keywords

stabilityconvergencesystem of generalized nonlinear variational-like inclusionsperturbed Mann iterative method with errors

Mathematics Subject Classification ID

Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Numerical solutions to equations with nonlinear operators (65J15)

Related Items (4)

Iterative algorithm with mixed errors for solving a new system of generalized nonlinear variational-like inclusions and fixed point problems in Banach spaces ⋮ Iterative algorithm for fixed point problems of generalized nearly asymptotically nonexpansive mappings and solutions of a system of generalized nonlinear variational-like inclusions ⋮ Total asymptotically nonexpansive mappings and generalized variational-like inclusion problems in semi-inner product spaces ⋮ System of generalized nonlinear variational-like inequalities and nearly asymptotically nonexpansive mappings: graph convergence and fixed point problems

Cites Work

• Iterative methods for solving variational inclusions in Banach spaces
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• Fixed point theorems and a new system of multivalued generalized order complementarity problems
• Mann and Ishikawa type perturbed iterative algorithms for generalized nonlinear implicit quasi-variational inclusions
• Iterative algorithm for a system of nonlinear variational-like inclusions
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
• Perturbed proximal point algorithms for general quasi-variational-like inclusions
• \((A,\eta )\)-Accretive mappings and set-valued variational inclusions with relaxed cocoercive mappings in Banach spaces
• A new system of variational inclusions with \((H,\eta)\)-monotone operators in Hilbert spaces
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• A fixed point theorem and its applications to a system of variational inequalities
• A NEW SYSTEM OF GENERALIZED NONLINEAR MIXED QUASIVARIATIONAL INEQUALITIES AND ITERATIVE ALGORITHMS IN HILBERT SPACES
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