Strong convergence of the modified Ishikawa iterative method for infinitely many nonexpansive mappings in Banach spaces
From MaRDI portal
Publication:980196
DOI10.1016/j.camwa.2010.01.025zbMath1189.65116OpenAlexW2054298734WikidataQ59307093 ScholiaQ59307093MaRDI QIDQ980196
Publication date: 28 June 2010
Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.camwa.2010.01.025
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)
Related Items
Convergence, stability, and data dependence of a new iterative algorithm with an application ⋮ New iterative algorithm for two infinite families of multivalued quasi-nonexpansive mappings in uniformly convex Banach spaces ⋮ Steepest-descent Ishikawa iterative methods for a class of variational inequalities in Banach spaces ⋮ Convergence of infinite family of multivalued quasi-nonexpansive mappings using multistep iterative processes ⋮ Strong convergence theorems of modified Ishikawa iterative method for an infinite family of strict pseudocontractions in Banach spaces ⋮ Strong convergence theorems for a family non-expansive mappings and application to generalized mixed equilibrium problems systems
Cites Work
- Unnamed Item
- Unnamed Item
- Convergence theorems of fixed points for a finite family of nonexpansive mappings in Banach spaces
- Viscosity approximation methods for a family of \(m\)-accretive mappings in reflexive Banach spaces
- Strong convergence theorems of a general iterative process for a finite family of \(\lambda \)i-strict pseudo-contractions in q-uniformly smooth Banach spaces
- Strong convergence of an iterative algorithm on an infinite countable family of nonexpansive mappings
- Convergence of a general iterative method for nonexpansive mappings in Hilbert spaces
- Strong convergence theorems for an infinite family of nonexpansive mappings in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- On the convergence of Han's method for convex programming with quadratic objective
- Approximation of fixed points of nonexpansive mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Viscosity approximation methods for nonexpansive mappings
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- Nonexpansive projections on subsets of Banach spaces
- Asymptotic behavior of contractions in Banach spaces
- A general iterative method for nonexpansive mappings in Hilbert spaces
- Approximation of common fixed points of an infinite family of nonexpansive mappings in Banach spaces
- Convergence theorem for equilibrium problems and fixed point problems of infinite family of nonexpansive mappings
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- Strong convergence of an iterative method for nonexpansive and accretive operators
- The rate of convergence of dykstra's cyclic projections algorithm: The polyhedral case
- Fixed point theorems for asymptotically nonexpansive mappings
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Strong convergence of Ishikawa iterative method for nonexpansive mappings in Hilbert spaces
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications