A strong convergence theorem for solutions of equilibrium problems and asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense
From MaRDI portal
Publication:401811
DOI10.1186/1687-1812-2013-305zbMath1476.47067OpenAlexW2111869860WikidataQ59302135 ScholiaQ59302135MaRDI QIDQ401811
Publication date: 27 August 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-305
strong convergencefixed pointequilibrium problemuniformly smooth Banach spacegeneralized projectionasymptotically quasi-\(\phi\)-nonexpansive mappingasymptotically quasi-\(\phi\)-nonexpansive mapping in the intermediate senseKadec-Klee property
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Convergence theorems for equilibrium problem and asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense ⋮ Strong convergence theorems for equilibrium problems and asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense ⋮ Some results on asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense and equilibrium problems
Cites Work
- Unnamed Item
- Weak convergence of algorithms for asymptotically strict pseudocontractions in the intermediate sense and equilibrium problems
- Iterative common solutions for monotone inclusion problems, fixed point problems and equilibrium problems
- Iterative processes for common fixed points of two different families of mappings with applications
- Strong convergence of a general iterative algorithm in Hilbert spaces
- Convergence analysis of an iterative algorithm for monotone operators
- On generalized asymptotically quasi-\(\phi\)-nonexpansive mappings and a Ky Fan inequality
- An extragradient-type method for generalized equilibrium problems involving strictly pseudocontractive mappings
- Iterative algorithms for variational inequality and equilibrium problems with applications
- Approximation of fixed points of pseudocontraction semigroups based on a viscosity iterative process
- Nonlinear operators of monotone type and convergence theorems with equilibrium problems in Banach spaces
- Convergence of an iterative algorithm for systems of variational inequalities and nonexpansive mappings with applications
- Convergence of iterative sequences for generalized equilibrium problems involving inverse-strongly monotone mappings
- A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- An iteration to a common point of solution of variational inequality and fixed point-problems in Banach spaces
- Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
- On asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense
- Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
- Approximation of common solutions of variational inequalities via strict pseudocontractions
- On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- A new iterative algorithm of pseudomonotone mappings for equilibrium problems in Hilbert spaces
- Projection algorithms for treating asymptotically quasi-\(\phi \)-nonexpansive mappings in the intermediate sense
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Generalized Projection Algorithms for Nonlinear Operators
- On uniformly convex functions
