Krasnoselski-Mann iterations for hierarchical fixed point problems for a finite family of nonself mappings in Banach spaces
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Publication:613578
DOI10.1007/s10957-010-9679-0zbMath1210.47094OpenAlexW2088786447MaRDI QIDQ613578
Adrian Petruşel, Lu-Chuan Ceng
Publication date: 21 December 2010
Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s10957-010-9679-0
strong convergenceweak convergencenonexpansive mappingreflexive Banach spacecontraction mappingdemiclosednesshierarchical fixed point problemmodified Krasnoselskij-Mann iteration
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Viscosity method for hierarchical fixed point problems with an infinite family of nonexpansive nonself-mappings ⋮ Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems ⋮ System of variational inequalities and an accretive operator in Banach spaces ⋮ Hierarchical convergence of a double-net algorithm for equilibrium problems and variational inequality problems ⋮ Three-step Mann iterations for a general system of variational inequalities and an infinite family of nonexpansive mappings in Banach spaces ⋮ Mann-type viscosity approximation methods for multivalued variational inclusions with finitely many variational inequality constraints in Banach spaces ⋮ Hybrid and relaxed Mann iterations for general systems of variational inequalities and nonexpansive mappings ⋮ Hybrid iterative method for split monotone variational inclusion problem and hierarchical fixed point problem for a finite family of nonexpansive mappings ⋮ Modified Krasnoselski-Mann iterative method for hierarchical fixed point problem and split mixed equilibrium problem ⋮ Hybrid extragradient methods for finding zeros of accretive operators and solving variational inequality and fixed point problems in Banach spaces ⋮ Convergence theorems for hierarchical fixed point problems and variational inequalities
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