The shrinking projection method for solving generalized equilibrium problems and common fixed points for asymptotically quasi-\(\phi\)-nonexpansive mappings
From MaRDI portal
Publication:1952117
DOI10.1186/1687-1812-2011-9zbMath1390.47023OpenAlexW2124698506WikidataQ59269950 ScholiaQ59269950MaRDI QIDQ1952117
Publication date: 27 May 2013
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2011-9
Banach spacesstrong convergencevariational inequalitygeneralized mixed equilibrium problemasymptotically quasi-\(\phi\)-nonexpansive mapping
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 ⋮ Scalar gap functions and error bounds for generalized mixed vector equilibrium problems with applications ⋮ A generalized \(f\)-projection method for countable families of weak relatively nonexpansive mappings and the system of generalized Ky Fan inequalities ⋮ Convergence theorems for uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings, generalized equilibrium problems, and variational inequalities ⋮ A modified Mann iterative scheme by generalized \(f\)-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems ⋮ A new modified block iterative algorithm for uniformly quasi-\(\varphi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems ⋮ Iterative algorithms based on the viscosity approximation method for equilibrium and constrained convex minimization problem ⋮ Strong convergence for total quasi-\(\phi\)-asymptotically nonexpansive semigroups in Banach spaces ⋮ Strong convergence theorems for nonlinear mappings, variational inequality problems and system of generalized mixed equilibrium problems ⋮ Convergence theorems for mixed equilibrium problems, variational inequality problem and uniformly quasi-\(\phi \)-asymptotically nonexpansive mappings ⋮ Strong convergence theorems for countable families of uniformly quasi-\(\phi\)-asymptotically nonexpansive mappings and a system of generalized mixed equilibrium problems ⋮ A system of generalized mixed equilibrium problems, maximal monotone operators, and fixed point problems with application to optimization problems ⋮ Parallel iterative methods for a finite family of sequences of nearly nonexpansive mappings in Hilbert spaces ⋮ The modified block iterative algorithms for asymptotically relatively nonexpansive mappings and the system of generalized mixed equilibrium problems ⋮ Strong Convergence Theorems for a Finite Family of Sequences of Nearly Nonexpansive Mappings in Hilbert Spaces ⋮ Unnamed Item ⋮ Two strong convergence theorems for the common null point problem in Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
- A hybrid iterative scheme for a maximal monotone operator and two countable families of relatively quasi-nonexpansive mappings for generalized mixed equilibrium and variational inequality problems
- Handbook of generalized convexity and generalized monotonicity
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Strong convergence theorem by a new hybrid method for equilibrium problems and relatively nonexpansive mappings
- A general iterative scheme for nonexpansive mappings and inverse-strongly monotone mappings
- Shrinking projection method of common solutions for generalized equilibrium quasi-\(\varphi \)-nonexpansive mapping and relatively nonexpansive mapping
- The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces
- Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces
- Strong convergence theorems for solving equilibrium problems and fixed point problems of \(\xi \)-strict pseudo-contraction mappings by two hybrid projection methods
- An iterative method of fixed points for closed and quasi-strict pseudo-contractions in Banach spaces
- 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
- Strong convergence theorems by a new hybrid projection algorithm for fixed point problems and equilibrium problems of two relatively quasi-nonexpansive mappings
- A hybrid approximation method for equilibrium and fixed point problems for a monotone mapping and a nonexpansive mapping
- A new hybrid iterative method for solution of equilibrium problems and fixed point problems for an inverse strongly monotone operator and a nonexpansive mapping
- Convergence theorems of a hybrid algorithm for equilibrium problems
- A hybrid approximation method for equilibrium and fixed point problems for a family of infinitely nonexpansive mappings and a monotone mapping
- Generalized mixed equilibrium problem in Banach spaces
- Equilibrium programming using proximal-like algorithms
- From scalar to vector equilibrium problems in the quasimonotone case
- Existence theory for finite-dimensional pseudomonotone equilibrium problems
- Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Convergence analysis for a system of equilibrium problems and a countable family of relatively quasi-nonexpansive mappings in Banach spaces
- Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
- On hybrid projection methods 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
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Weak and strong convergence theorems for relatively nonexpansive mappings in Banach spaces
- Weak convergence of a projection algorithm for variational inequalities in a Banach space
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- A hybrid iterative scheme for equilibrium problems and fixed point problems of asymptotically \(k\)-strict pseudo-contractions
- An extragradient method for relaxed cocoercive variational inequality and equilibrium problems
- Inequalities in Banach spaces with applications
- 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
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Generalized Projection Algorithms for Nonlinear Operators
- On the Maximality of Sums of Nonlinear Monotone Operators
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings