Dynamical technique for split common fixed point problem in Banach spaces

DOI10.1007/s40314-022-01859-6zbMath1497.47103OpenAlexW4225297866MaRDI QIDQ2140800

Chinedu Izuchukwu, Abdul Rahim Khan, Godwin Chidi Ugwunnadi

Publication date: 23 May 2022

Published in: Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40314-022-01859-6

zbMATH Keywords

strong convergencesplit feasibility problemBregman distancesplit equilibrium problemsplit common fixed-point problemBregman demigeneralized mapdynamical stepsize method

Mathematics Subject Classification ID

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

Cites Work

• Strong convergence theorem for quasi-Bregman strictly pseudocontractive mappings and equilibrium problems in Banach spaces
• Convex functions, monotone operators and differentiability.
• Duality fixed point and zero point theorems and applications
• Strong convergence of a self-adaptive method for the split feasibility problem in Banach spaces
• Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
• The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
• An iterative row-action method for interval convex programming
• A multiprojection algorithm using Bregman projections in a product space
• A viscosity iterative technique for split variational inclusion and fixed point problems between a Hilbert space and a Banach space
• Extragradient-proximal methods for split equilibrium and fixed point problems in Hilbert spaces
• Applications of Bregman-Opial property to Bregman nonspreading mappings in Banach spaces
• Iterative methods for approximating fixed points of Bregman nonexpansive operators
• A self-adaptive projection method with an inertial technique for split feasibility problems in Banach spaces with applications to image restoration problems
• Solving the split feasibility problem and the fixed point problem of left Bregman firmly nonexpansive mappings via the dynamical step sizes in Banach spaces
• A strong convergence theorem for a parallel iterative method for solving the split common null point problem in Hilbert spaces
• New self-adaptive step size algorithms for solving split variational inclusion problems and its applications
• A new algorithm for solving the split common null point problem in Hilbert spaces
• Bregman distance and strong convergence of proximal-type algorithms
• The split common null point problem in Banach spaces
• Iterative methods for generalized split feasibility problems in Hilbert spaces
• The split common null point problem for generalized resolvents in two Banach spaces
• Split feasibility problem for quasi-nonexpansive multi-valued mappings and total asymptotically strict pseudo-contractive mapping
• Matrix p-Norms Are NP-Hard to Approximate If $p\neq1,2,\infty$
• Iterative Algorithms for Nonlinear Operators
• Solving split equality fixed-point problem of quasi-nonexpansive mappings without prior knowledge of operators norms
• An iterative regularization method for the solution of the split feasibility problem in Banach spaces
• Inequalities in Banach spaces with applications
• A unified treatment of some iterative algorithms in signal processing and image reconstruction
• The split common fixed point problem for generalized demimetric mappings in two Banach spaces
• Two hybrid algorithms for solving split equilibrium problems
• The Split Common Null Point Problem
• Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
• Nonlinear iterative methods for solving the split common null point problem in Banach spaces
• Fixed Point Theory for Lipschitzian-type Mappings with Applications
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