Approximation of fixed points of nonexpansive mappings and solutions of variational inequalities

DOI10.1155/2008/284345zbMath1149.47055OpenAlexW2118069135WikidataQ59214211 ScholiaQ59214211MaRDI QIDQ938434

C. O. Chidume, Bashir Ali, Charles E. Chidume

Publication date: 19 August 2008

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

Full work available at URL: https://eudml.org/doc/129360

zbMATH Keywords

fixed pointvariational inequalitynonexpansive mappingiterative schemeBanach spacecommon fixed pointconvergence theoremfinite family

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Hybrid iteration method for common fixed points of an infinite family of nonexpansive mappings in Banach spaces ⋮ A new algorithm for variational inequality problems with a generalized phi-strongly monotone map over the set of common fixed points of a finite family of quasi-phi-nonexpansive maps, with applications ⋮ Self-adaptive implicit methods for monotone variant variational inequalities ⋮ Hybrid iteration method for common fixed points of a finite family of nonexpansive mappings in Banach spaces

Cites Work

• Convergence of hybrid steepest-descent methods for variational inequalities
• Convergence theorems for common fixed points for finite families of nonexpansive mappings in reflexive Banach spaces
• Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces
• Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
• An iteration method for nonexpansive mappings in Hilbert spaces
• Implicit iteration scheme with perturbed mapping for common fixed points of a finite family of nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Inequalities in Banach spaces with applications
• Fixed point theorems for asymptotically nonexpansive mappings
• Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
• Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings
• Orthogonality and Linear Functionals in Normed Linear Spaces

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