On the split common fixed point problem for strict quasi-\(\phi\)-pseudocontractive mappings in Banach spaces

DOI10.1007/s11075-020-01002-8OpenAlexW3083223157WikidataQ112879560 ScholiaQ112879560MaRDI QIDQ2035514

Jin-Xing Liu, Xin-dong Liu, Zi-Li Chen

Publication date: 24 June 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-020-01002-8

zbMATH Keywords

strong convergencegeneralized projectionsplit common fixed point problemstrict quasi-\(\phi\)-pseudocontractive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

Shrinking projection algorithms for the split common fixed point problem between Hilbert and Banach space

Cites Work

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• On the split common fixed point problem for strict pseudocontractive and asymptotically nonexpansive mappings in Banach spaces
• Strong convergence theorems by hybrid methods for the split common null point problem in Banach spaces
• Split common fixed point problem for two quasi-pseudo-contractive operators and its algorithm construction
• A note on the split common fixed-point problem for quasi-nonexpansive operators
• Cyclic algorithms for split feasibility problems in Hilbert spaces
• A strong convergence theorem for relatively nonexpansive mappings in a Banach space
• Algorithms for the split variational inequality problem
• Perturbed projections and subgradient projections for the multiple-sets split feasibility problem
• Algorithms of common solutions to quasi variational inclusion and fixed point problems
• An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces
• An incomplete Cauchy problem
• A multiprojection algorithm using Bregman projections in a product space
• A strongly convergent algorithm for the split common fixed point problem
• A new method for split common fixed-point problem without priori knowledge of operator norms
• A strong convergence theorem for the split common null point problem in Banach spaces
• On the split feasibility problem and fixed point problem of quasi-\(\phi\)-nonexpansive mapping in Banach spaces
• Parallel iterative methods for solving the generalized split common null point problem in Hilbert spaces
• A strong convergence theorem for a parallel iterative method for solving the split common null point problem in Hilbert spaces
• A new algorithm for solving the split common null point problem in Hilbert spaces
• Split common fixed point problems for demicontractive operators
• On split common fixed point problems
• General method for solving the split common fixed point problem
• The split common null point problem for generalized resolvents in two Banach spaces
• Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
• Construction of fixed points of nonlinear mappings in Hilbert space
• Iterative methods for the split feasibility problem in infinite-dimensional Hilbert spaces
• On the split equality common fixed point problem for asymptotically nonexpansive semigroups in Banach spaces
• A Strong Convergence Theorem by the Shrinking Projection Method for the Split Common Null Point Problem in Banach Spaces
• The multiple-sets split feasibility problem and its applications for inverse problems
• A variable Krasnosel'skii–Mann algorithm and the multiple-set split feasibility problem
• The split common fixed-point problem for demicontractive mappings
• Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
• Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
• Strong Convergence of a Proximal-Type Algorithm in a Banach Space
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• Iterative oblique projection onto convex sets and the split feasibility problem
• On the split equality common fixed point problem for quasi-nonexpansive multi-valued mappings in Banach spaces
• Strong convergence of hybrid Bregman projection algorithm for split feasibility and fixed point problems in Banach spaces
• The Split Common Null Point Problem
• The relaxed CQ algorithm solving the split feasibility problem
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Two projection methods for solving the multiple-set split common null point problem in Hilbert spaces
• Parallel Iterative Methods for Solving the Split Common Fixed Point Problem in Hilbert Spaces
• Domains of accretive operators in Banach spaces