On split fixed point problems for multi-valued mappings and designing a self-adaptive method

DOI10.1007/s00025-021-01441-2OpenAlexW3170447213MaRDI QIDQ2041211

Pachara Jailoka, Suthep Suantai

Publication date: 16 July 2021

Published in: Results in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00025-021-01441-2

zbMATH Keywords

strong convergenceviscosity approximationmulti-valued mappingsdemicontractivityself-adaptive methodssplit fixed point problems

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Another look at the split common fixed point problem for demicontractive operators
• Split common fixed point problem for two quasi-pseudo-contractive operators and its algorithm construction
• Iterative approximation of a common solution of a split equilibrium problem, a variational inequality problem and a fixed point problem
• Iterative methods for fixed point problems in Hilbert spaces
• Further investigation into split common fixed point problem for demicontractive operators
• Algorithms for the split variational inequality problem
• A self-adaptive algorithm for split null point problems and fixed point problems for demicontractive multivalued mappings
• Iterative approximation of fixed points
• The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
• Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
• On the Mann iteration process in a Hilbert space
• A multiprojection algorithm using Bregman projections in a product space
• A strongly convergent algorithm for the split common fixed point problem
• Split common null point and common fixed point problems between Banach spaces and Hilbert spaces
• Strong and \(\Delta\)-convergence theorems for common fixed points of a finite family of multivalued demicontractive mappings in CAT\((0)\) spaces
• Split null point problems and fixed point problems for demicontractive multivalued mappings
• Viscosity approximation methods for nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• Viscosity approximation process for a sequence of quasinonexpansive mappings
• A viscosity method with no spectral radius requirements for the split common fixed point problem
• Convergence theorems for new classes of multivalued hemicontractive-type mappings
• Iterative methods for the split common fixed point problem in Hilbert spaces
• The split common fixed point problem for multivalued demicontractive mappings and its applications
• On split common fixed point problems
• General method for solving the split common fixed point problem
• Viscosity approximation methods for solving fixed-point problems and split common fixed-point problems
• Landweber-type operator and its properties
• 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
• The multiple-sets split feasibility problem and its applications for inverse problems
• Application of Quasi-Nonexpansive Operators to an Iterative Method for Variational Inequality
• The split common fixed-point problem for demicontractive mappings
• The Solution by Iteration of Nonlinear Equations in Hilbert Spaces
• 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 Split Common Null Point Problem
• The relaxed CQ algorithm solving the split feasibility problem
• An Introduction to Metric Spaces and Fixed Point Theory
• A note on the CQ algorithm for the split feasibility problem
• An Iteration Formula for Fredholm Integral Equations of the First Kind
• Viscosity approximation methods for split common fixed point problems without prior knowledge of the operator norm