Convergence theorems for uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings, generalized equilibrium problems, and variational inequalities
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Publication:357656
DOI10.1186/1029-242X-2011-96zbMath1270.47063WikidataQ59268180 ScholiaQ59268180MaRDI QIDQ357656
Publication date: 13 August 2013
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
strong convergencevariational inequalityiterative algorithmsgeneralized equilibrium probleminverse-strongly monotone operatoruniformly quasi-\(\phi\)-asymptotically nonexpansive mapping
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Mosco convergence results for common fixed point problems and generalized equilibrium problems in Banach spaces ⋮ Strong convergence theorems for a countable family of total quasi-\(\phi\)-asymptotically nonexpansive nonself mappings
Cites Work
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- A general iterative method for solving equilibrium problems, variational inequality problems and fixed point problems of an infinite family of nonexpansive mappings
- Strong convergence of shrinking projection methods for quasi-nonexpansive mappings and equilibrium problems
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
- Strong convergence theorems for monotone mappings and relatively weak nonexpansive mappings
- A new hybrid iterative method for solution of equilibrium problems and fixed point problems for an inverse strongly monotone operator and a nonexpansive mapping
- Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-\(\phi\)-nonexpansive mappings
- The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings
- A new iterative algorithm of solution for equilibrium problems, variational inequalities and fixed point problems in a Hilbert space
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- A hybrid iteration scheme for equilibrium problems, variational inequality problems and common fixed point problems in Banach spaces
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- On uniformly convex functions
