Two new self-adaptive algorithms for solving the split common null point problem with multiple output sets in Hilbert spaces
From MaRDI portal
Publication:2659610
DOI10.1007/s11784-021-00848-2OpenAlexW3133702083MaRDI QIDQ2659610
Simeon Reich, Truong Minh Tuyen
Publication date: 26 March 2021
Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11784-021-00848-2
nonexpansive mappingHilbert spacemetric projectionsplit common null point problemself-adaptive algorithm
Convex programming (90C25) Set-valued and variational analysis (49J53) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Approximation of solutions of the split minimization problem with multiple output sets and common fixed point problems in real Banach spaces ⋮ A new approach to solving split equality problems in Hilbert spaces ⋮ A generalized cyclic iterative method for solving variational inequalities over the solution set of a split common fixed point problem ⋮ An inertial method for solutions of split equality inclusion problems ⋮ Inertial proximal point algorithm for the split common solution problem of monotone operator equations ⋮ On split generalized equilibrium and fixed point problems with multiple output sets in real Banach spaces ⋮ Self-adaptive algorithms for solving split feasibility problem with multiple output sets ⋮ Variational inequalities over the solution sets of split variational inclusion problems ⋮ A cyclic iterative method for solving the system of split equality zero-point problems ⋮ On split generalized equilibrium problem with multiple output sets and common fixed points problem ⋮ New iterative algorithms for solving a class of split common solution problems and their applications ⋮ An Approach for Solving Split Common Fixed Point Problems with Multiple Output Sets That Uses Dynamic Step Sizes ⋮ On split monotone variational inclusion problem with multiple output sets with fixed point constraints ⋮ New Algorithms for Solving the Split Common Zero Point Problem in Hilbert Space ⋮ Two new self-adaptive algorithms for solving the split feasibility problem in Hilbert space ⋮ Inertial proximal point algorithms for solving a class of split feasibility problems ⋮ The split feasibility problem with multiple output sets for demicontractive mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Proximal point algorithms for nonsmooth convex optimization with fixed point constraints
- Cyclic algorithms for split feasibility problems in Hilbert spaces
- Strong convergence theorems for maximal monotone operators with nonlinear mappings in Hilbert spaces
- Algorithms for the split variational inequality problem
- A regularization method for the proximal point algorithm
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- A multiprojection algorithm using Bregman projections in a product space
- Projection and proximal point methods: Convergence results and counterexamples.
- A strong convergence theorem for solving the split feasibility and fixed point problems in Banach spaces
- A strong convergence theorem for the split common null point problem in Banach spaces
- The split feasibility problem with multiple output sets in Hilbert spaces
- A viscosity method with no spectral radius requirements for the split common fixed point problem
- 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
- The split common null point problem in Banach spaces
- A shrinking projection method for solving the split common null point problem in Banach spaces
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- On the maximal monotonicity of subdifferential mappings
- Strong convergence of an iterative method for nonexpansive and accretive operators
- The split common null point problem and the shrinking projection method in Banach spaces
- Iterative methods for the split feasibility problem in infinite-dimensional Hilbert 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
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- 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
- Iterative methods for solving the generalized split common null point problem in Hilbert spaces
- 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
- SHRINKING PROJECTION ALGORITHMS FOR THE SPLIT COMMON NULL POINT PROBLEM
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Combining The Proximal Algorithm And Tikhonov Regularization
- An Iteration Formula for Fredholm Integral Equations of the First Kind