Iterative algorithms approach to a general system of nonlinear variational inequalities with perturbed mappings and fixed point problems for nonexpansive semigroups

DOI10.1186/1029-242X-2012-133zbMath1480.47099OpenAlexW2138101261WikidataQ59289366 ScholiaQ59289366MaRDI QIDQ372200

Poom Kumam, Pongsakorn Sunthrayuth

Publication date: 14 October 2013

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1029-242x-2012-133

zbMATH Keywords

iterative algorithmstrong convergencevariational inequalityBanach spacecommon fixed pointsone-parameter nonexpansive semigroupperturbed mapping

Mathematics Subject Classification ID

Semigroups of nonlinear operators (47H20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

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A new computational technique for common solutions between systems of generalized mixed equilibrium and fixed point problems ⋮ Convergence to common solutions of various problems for nonexpansive mappings in Hilbert spaces ⋮ New generalized system of variational inclusions involving \(H(\cdot ,\cdot )\)-co-accretive mapping ⋮ Stable perturbed iterative algorithms for solving new general systems of nonlinear generalized variational inclusion in Banach spaces ⋮ A general iterative algorithm for an infinite family of nonexpansive operators in Hilbert spaces

Cites Work

• New methods with perturbations for non-expansive mappings in Hilbert spaces
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• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• Ishikawa and Mann iterative process with errors for nonlinear strongly accretive mappings in Banach spaces
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• Asymptotic behavior of contractions in Banach spaces
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• Inequalities in Banach spaces with applications
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE

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