Iterative methods for split variational inclusion and fixed point problem of nonexpansive semigroup in Hilbert spaces

DOI10.1186/s13660-014-0528-9zbMath1307.47061OpenAlexW2098464637WikidataQ59436153 ScholiaQ59436153MaRDI QIDQ2260904

Dao-Jun Wen, Yi-An Chen

Publication date: 12 March 2015

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

Full work available at URL: https://doi.org/10.1186/s13660-014-0528-9

zbMATH Keywords

fixed pointnonexpansive semigroupgeneral iterative methodaveraged mappingsplit variational inclusion

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)

Related Items

Iterative solution of split variational inclusion problem in a real Banach spaces ⋮ An iterative method for split inclusion problems without prior knowledge of operator norms ⋮ Unnamed Item ⋮ Ergodic-type method for a system of split variational inclusion and fixed point problems in Hilbert spaces ⋮ Modified Krasnoselski-Mann type iterative algorithm with strong convergence for hierarchical fixed point problem and split monotone variational inclusions

Cites Work

• General iterative methods for generalized equilibrium problems and fixed point problems of \(k\)-strict pseudo-contractions
• Iterative methods for equilibrium and fixed point problems for nonexpansive semigroups in Hilbert spaces
• Iterative algorithms for variational inequality and equilibrium problems with applications
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• Algorithms for the split variational inequality problem
• General iterative methods for a one-parameter nonexpansive semigroup in Hilbert space
• A multiprojection algorithm using Bregman projections in a product space
• Strong convergence to common fixed points of families of nonexpansive mappings
• An iterative method for nonexpansive semigroups, variational inclusions and generalized equilibrium problems
• A general iterative method for nonexpansive mappings in Hilbert spaces
• An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
• Convergence of approximants to fixed points of nonexpansive nonlinear mappings in Banach spaces
• Iterative oblique projection onto convex sets and the split feasibility problem
• The Split Common Null Point Problem
• A Geometrical Look at Iterative Methods for Operators with Fixed Points
• A Hierarchical Presentation of Operators with Fixed Points on Hilbert Spaces
• Convex analysis and monotone operator theory in Hilbert spaces

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