Strong convergence theorems of modified Ishikawa iterative process with errors for an infinite family of strict pseudo-contractions
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Publication:1044476
DOI10.1016/j.na.2009.05.051zbMath1178.47043OpenAlexW2062491528MaRDI QIDQ1044476
Publication date: 18 December 2009
Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.na.2009.05.051
iterative algorithmstrong convergencefixed point\(q\)-uniformly smooth Banach spacestrict pseudocontractions
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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On the Approximation of Zeros of Non-Self Monotone Operators ⋮ Some results on a finite family of Bregman quasi-strict pseudo-contractions ⋮ Strong convergence theorems of modified Ishikawa iterative method for an infinite family of strict pseudocontractions in Banach spaces ⋮ Strong convergence of an iterative algorithm for an infinite family of strict pseudo-contractions in Banach spaces ⋮ On the auxiliary mappings generated by a family of mappings and solutions of variational inequalities problems
Cites Work
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- An iterative approach to quadratic optimization
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Strong convergence of modified Mann iterations
- Viscosity approximation methods for nonexpansive mappings
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- Viscosity approximation methods for fixed-points problems
- Asymptotic behavior of contractions in Banach spaces
- Approximation of common fixed points of an infinite family of nonexpansive mappings in Banach spaces
- Strong convergence theorems for a finite family of nonexpansive mappings
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- Strong convergence and certain control conditions for modified Mann iteration
- Construction of fixed points of nonlinear mappings in Hilbert space
- AN IMPLICIT ITERATION PROCESS FOR NONEXPANSIVE MAPPINGS
- Inequalities in Banach spaces with applications
- On Projection Algorithms for Solving Convex Feasibility Problems
- Fixed Points by a New Iteration Method
- Mean Value Methods in Iteration
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications
