An inertial S-iteration process for a common fixed point of a family of quasi-Bregman nonexpansive mappings

DOI10.1186/s13663-022-00719-6OpenAlexW4221083048MaRDI QIDQ2138472

Yanyan Li

Publication date: 12 May 2022

Published in: Fixed Point Theory and Algorithms for Sciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13663-022-00719-6

zbMATH Keywords

fixed pointinnertial iterative processquasi-Bregman nonexpansive mappingS-iterative process

Mathematics Subject Classification ID

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

Cites Work

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• Convergence of modified \(S\)-iteration process for two asymptotically nonexpansive mappings in the intermediate sense in CAT(0) spaces
• A modified S-iteration process for G-nonexpansive mappings in Banach spaces with graphs
• Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
• Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
• Totally convex functions for fixed points computation and infinite dimensional optimization
• The extragradient algorithm with inertial effects extended to equilibrium problems
• Bregman weak relatively nonexpansive mappings in Banach spaces
• Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
• An inertial S-iteration process
• Nonlinear Ill-posed Problems of Monotone Type
• Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
• Bregman Monotone Optimization Algorithms
• ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
• Inertial viscosity forward–backward splitting algorithm for monotone inclusions and its application to image restoration problems
• Gradients of Convex Functions

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