Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces
DOI10.1007/s11075-017-0269-1zbMath1422.47066OpenAlexW2576435978WikidataQ112879558 ScholiaQ112879558MaRDI QIDQ1678594
Yekini Shehu, Gang Cai, Olaniyi Samuel Iyiola
Publication date: 17 November 2017
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-017-0269-1
Banach spacesstrong convergencefixed pointvariational inequalityasymptotically nonexpansive mapping in the intermediate sensegeneralized viscosity algorithm
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Iterative algorithms for solving variational inequalities and fixed point problems for asymptotically nonexpansive mappings in Banach spaces
- Some new algorithms for solving mixed equilibrium problems
- Convergence theorems for equilibrium problems and fixed point problems of a finite family of asymptotically \(k\)-strictly pseudocontractive mappings in the intermediate sense
- Strong convergence of an iterative algorithm for variational inequalities in Banach spaces
- Approach to common elements of variational inequality problems and fixed point problems via a relaxed extragradient method
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- On viscosity iterative methods for variational inequalities
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- Modified extragradient methods for a system of variational inequalities in Banach spaces
- Strong convergence theorems of a general iterative process for a finite family of \(\lambda \)i-strict pseudo-contractions in q-uniformly smooth Banach spaces
- Mixed equilibrium problems and optimization problems
- A viscosity approximation scheme for system of equilibrium problems, nonexpansive mappings and monotone mappings
- Product formulas, nonlinear semigroups, and accretive operators
- On the asymptotic behavior of nonlinear semigroups and the range of accretive operators
- Image recovery by convex combinations of sunny nonexpansive retractions
- Equilibrium programming using proximal-like algorithms
- On Chidume's open questions and approximate solutions of multivalued strongly accretive mapping equations in Banach spaces
- Weak convergence theorems for asymptotically nonexpansive mappings and semigroups
- Some algorithms for general monotone mixed variational inequalities
- Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
- Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
- A mean ergodic theorem for mappings which are asymptotically nonexpansive in the intermediate sense.
- Some developments in general variational inequalities
- Viscosity approximation methods for nonexpansive mappings
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- Modified extragradient methods for variational inequality problems and fixed point problems for an infinite family of nonexpansive mappings in Banach spaces
- Asymptotic behavior of contractions in Banach spaces
- Some geometric properties related to the fixed point theory for nonexpansive mappings
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- Inequalities in Banach spaces with applications
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- On Projection Algorithms for Solving Convex Feasibility Problems
- On iterative methods for solving a system of mixed variational inequalities
- Semicontractive and semiaccretive nonlinear mappings in Banach spaces
This page was built for publication: Viscosity iterative algorithms for fixed point problems of asymptotically nonexpansive mappings in the intermediate sense and variational inequality problems in Banach spaces