The shrinking projection method for common solutions of generalized mixed equilibrium problems and fixed point problems for strictly pseudocontractive mappings
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Publication:535548
DOI10.1155/2011/840319zbMath1217.47115OpenAlexW2062572511WikidataQ59267265 ScholiaQ59267265MaRDI QIDQ535548
Poom Kumam, Thanyarat Jitpeera
Publication date: 13 May 2011
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/226861
strong convergencestrictly pseudocontractive mappingsinverse-strongly monotone mappingsconvex feasibility problemsgeneralised mixed equilibrium problemsshrinking hybrid projection method
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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A general composite iterative method for strictly pseudocontractive mappings in Hilbert spaces ⋮ Approximating the minimum-norm fixed point of pseudocontractive mappings ⋮ Unnamed Item ⋮ A general iterative method for finding common solutions of system of equilibrium problems, system of variational inequalities and fixed point problems ⋮ Strong convergence of a unified general iteration for \(k\)-strictly pseudononspreading mapping in Hilbert spaces ⋮ Strong convergence for hybrid implicit \(S\)-iteration scheme of nonexpansive and strongly pseudocontractive mappings
Cites Work
- A hybrid scheme for finite families of equilibrium, variational inequality and fixed point problems
- A hybrid approximation method for equilibrium, variational inequality and fixed point problems
- Approximating common solution of variational inequality problems for two monotone mappings in Banach spaces
- Strong convergence theorems of iterative scheme based on the extragradient method for mixed equilibrium problems and fixed point problems
- Viscosity approximation methods for equilibrium problems and fixed point problems in Hilbert spaces
- Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
- Weak and strong convergence theorems for a nonexpansive mapping and an equilibrium problem
- Convergence theorems for equilibrium problem, variational inequality problem and countably infinite relatively quasi-nonexpansive mappings
- Strong convergence theorems obtained by a generalized projections hybrid method for families of mappings in Banach spaces
- Strong convergence of composite iterative methods for equilibrium problems and fixed point problems
- A new hybrid iterative method for mixed equilibrium problems and variational inequality problem for relaxed cocoercive mappings with application to optimization problems
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- A hybrid iterative scheme for mixed equilibrium problems and fixed point problems
- Iterative algorithm for generalized set-valued strongly nonlinear mixed variational-like inequali\-ties
- Strong convergence of the CQ method for fixed point iteration processes
- On some non-linear elliptic differential functional equations
- Pseudomonotone Complementarity Problems and Variational Inequalities
