Iterative approximation for split equality fixed point problem for family of multivalued mappings

DOI10.1007/s13398-014-0207-1zbMath1321.47149OpenAlexW1985644485MaRDI QIDQ496404

Yekini Shehu

Publication date: 21 September 2015

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-014-0207-1

zbMATH Keywords

strong convergenceHilbert spacessimultaneous iterative algorithmsplit equality fixed point problemmulti-valued quasi-nonexpansive mappings

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Strong convergence of an iterative method for solving the multiple-set split equality fixed point problem in a real Hilbert space ⋮ Self-adaptive method for solving multiple set split equality variational inequality and fixed point problems in real Hilbert spaces ⋮ General alternative regularization methods for split equality common fixed-point problem ⋮ Unnamed Item ⋮ On split inclusion problem and fixed point problem for multi-valued mappings ⋮ Systems of variational inequalities and multiple-set split equality fixed-point problems for countable families of multivalued type-one mappings of the demicontractive type

Cites Work

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• Regularized methods for the split feasibility problem
• Strong convergence of the viscosity approximation process for the split common fixed-point problem of quasi-nonexpansive mappings
• Applications of fixed-point and optimization methods to the multiple-set split feasibility problem
• Algorithms for the split variational inequality problem
• Modified block iterative algorithm for solving convex feasibility problems in Banach spaces
• A hybrid method for a countable family of multivalued maps, equilibrium problems, and variational inequality problems
• Hybrid iterative methods for convex feasibility problems and fixed point problems of relatively nonexpansive mappings in Banach spaces
• On Mann and Ishikawa iteration schemes for multi-valued maps in Banach spaces
• On the Mann-type iteration and the convex feasibility problem
• Iterative approximation to convex feasibility problems in Banach space
• Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping
• Solving the split equality problem without prior knowledge of operator norms
• A simple projection method for solving the multiple-sets split feasibility problem
• SOME NOTES ON ISHIKAWA ITERATION FOR MULTI-VALUED MAPPINGS
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• Iterative Algorithms for Nonlinear Operators
• Solving the split feasibility problem without prior knowledge of matrix norms
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms
• Quasi-nonexpansive multi-valued maps and selections
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• The relaxed CQ algorithm solving the split feasibility problem
• A note on the CQ algorithm for the split feasibility problem

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