Approximating solution of split equality and equilibrium problems by viscosity approximation algorithms
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Publication:1993514
DOI10.1007/s40314-018-0637-zzbMath1439.47051OpenAlexW2802231662WikidataQ129901215 ScholiaQ129901215MaRDI QIDQ1993514
Publication date: 5 November 2018
Published in: Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s40314-018-0637-z
Iterative procedures involving nonlinear operators (47J25) Programming in abstract spaces (90C48) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces ⋮ Unnamed Item ⋮ Approximating solutions of split equality of some nonlinear optimization problems using an inertial algorithm ⋮ Unnamed Item ⋮ Gradient projection-type algorithms for solving equilibrium problems and its applications ⋮ A projected subgradient-proximal method for split equality equilibrium problems of pseudomonotone bifunctions in Banach spaces
Cites Work
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- The strong convergence theorems for split common fixed point problem of asymptotically nonexpansive mappings in Hilbert spaces
- The problem of split convex feasibility and its alternating approximation algorithms
- Strong convergence of the viscosity approximation process for the split common fixed-point problem of quasi-nonexpansive mappings
- A note on the split common fixed-point problem for quasi-nonexpansive operators
- Algorithms for the split variational inequality problem
- Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
- Relaxed viscosity approximation methods for fixed point problems and variational inequality problems
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Generalized mixed equilibrium problem in Banach spaces
- A multiprojection algorithm using Bregman projections in a product space
- A remark on vector-valued equilibria and generalized monotonicity
- Viscosity approximation methods for fixed-points problems
- A modified projection method for a common solution of a system of variational inequalities, a split equilibrium problem and a hierarchical fixed-point problem
- Convergence theorems for split equality mixed equilibrium problems with applications
- A new iterative algorithm for split solution problems of quasi-nonexpansive mappings
- Viscosity approximation methods for the split equality common fixed point problem of quasi-nonexpansive operators
- Strong convergence theorems of general split equality problems for quasi-nonexpansive mappings
- Solving the split equality problem without prior knowledge of operator norms
- Iterative Algorithms for Nonlinear Operators
- Iterative oblique projection onto convex sets and the split feasibility problem
- Solving variational inequality and split equality common fixed-point problem without prior knowledge of operator norms
- Two hybrid algorithms for solving split equilibrium problems
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- EXISTENCE AND APPROXIMATION OF SOLUTIONS OF NONLINEAR VARIATIONAL INEQUALITIES
- Weak convergence of the sequence of successive approximations for nonexpansive mappings