Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces

DOI10.1186/1687-1812-2011-63zbMath1315.47074OpenAlexW2163982234WikidataQ59268330 ScholiaQ59268330MaRDI QIDQ359780

Ru Dong Chen, Ya-Qin Wang

Publication date: 22 August 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-63

zbMATH Keywords

accretive operatorvariational inequalityhybrid methodpseudocontraction

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)

Related Items

Hybrid method for a class of accretive variational inequalities involving nonexpansive mappings ⋮ STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES

Cites Work

• A hybrid method for monotone variational inequalities involving pseudocontractions
• Convergence theorems of iterative algorithms for continuous pseudocontractive mappings
• Hybrid methods for a class of monotone variational inequalities
• Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
• Zeros of accretive operators
• Towards viscosity approximations of hierarchical fixed-point problems
• Nonlinear semigroups and evolution equations
• Some geometric properties related to the fixed point theory for nonexpansive mappings
• An iterative procedure for constructing zeros of accretive sets in Banach spaces
• An Introduction to Banach Space Theory
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