The general iterative methods for nonexpansive mappings in Banach spaces
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Publication:652654
DOI10.1007/s10898-010-9617-6zbMath1471.65041OpenAlexW2116236871MaRDI QIDQ652654
Rabian Wangkeeree, Narin Petrot, Rattanaporn Wangkeeree
Publication date: 15 December 2011
Published in: Journal of Global Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10898-010-9617-6
nonexpansive mappingBanach spacecommon fixed pointstrong convergence theoremiterative approximation method
Variational inequalities (49J40) Fixed-point theorems (47H10) Numerical solutions to equations with nonlinear operators (65J15) Operator sine and cosine functions and higher-order Cauchy problems (47D09)
Related Items
The modified general iterative methods for asymptotically nonexpansive semigroups in Banach spaces ⋮ The modified general iterative methods for nonexpansive semigroups in Banach spaces ⋮ Strong convergence theorems for variational inequalities and fixed points of a countable family of nonexpansive mappings ⋮ Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces ⋮ The general iterative methods for asymptotically nonexpansive semigroups in Banach spaces ⋮ New iterative approximation methods for a countable family of nonexpansive mappings in Banach spaces ⋮ Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces ⋮ A general iterative method for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions ⋮ Existence theorems and iterative approximation methods for generalized mixed equilibrium problems for a countable family of nonexpansive mappings ⋮ Generalized equilibrium problems and fixed point problems for nonexpansive semigroups in Hilbert spaces ⋮ The general hybrid approximation methods for nonexpansive mappings in Banach spaces ⋮ A new composite general iterative scheme for nonexpansive semigroups in Banach spaces
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