Hybrid method for a class of accretive variational inequalities involving nonexpansive mappings

DOI10.1186/1029-242X-2014-217zbMath1485.47108OpenAlexW2141695693WikidataQ59323624 ScholiaQ59323624MaRDI QIDQ2405641

Hong-Kun Xu, Ya-Qin Wang

Publication date: 26 September 2017

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

Full work available at URL: https://doi.org/10.1186/1029-242x-2014-217

zbMATH Keywords

Banach spacesstrong convergencevariational inequalitynonexpansive mappingaccretive mappinghybrid method

Mathematics Subject Classification ID

Variational inequalities (49J40) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

The generalized viscosity implicit rule of nonexpansive semigroup in Banach spaces

Cites Work

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• Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces
• Hybrid methods for a class of monotone variational inequalities
• Towards viscosity approximations of hierarchical fixed-point problems
• Convergence theorems for sequences of nonlinear operators in Banach spaces
• A strong convergence theorem for contraction semigroups in Banach spaces