Synchronal algorithm and cyclic algorithm for fixed point problems and variational inequality problems in Hilbert spaces

DOI10.1186/1687-1812-2011-21zbMath1396.47005OpenAlexW2134501138WikidataQ59269647 ScholiaQ59269647MaRDI QIDQ351507

Ming Tian, Lanyun Di

Publication date: 5 July 2013

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2011-21

zbMATH Keywords

fixed pointvariational inequalitynonexpansive mappingHilbert spacecyclic algorithmstrict pseudo-contractionssynchronal algorithm

Mathematics Subject Classification ID

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

Related Items (7)

Generalized viscosity approximation methods for nonexpansive mappings ⋮ Coupled coincidence points for monotone operators in partially ordered metric spaces ⋮ Coupled and tripled coincidence point results without compatibility ⋮ Fixed point results for multivalued contractive maps ⋮ Synchronal and cyclic algorithms for fixed point problems and variational inequality problems in Banach spaces ⋮ Synchronal algorithm and cyclic algorithm for hierarchical fixed point problems and variational inequalities ⋮ Unnamed Item

Cites Work

• Unnamed Item
• Unnamed Item
• Hybrid steepest-descent methods for solving variational inequalities governed by boundedly Lipschitzian and strongly monotone operators
• A general iterative algorithm for nonexpansive mappings in Hilbert spaces
• Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
• A general iterative method for nonexpansive mappings in Hilbert spaces
• Iterative methods for strict pseudo-contractions in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative Algorithms for Nonlinear Operators

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