A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
From MaRDI portal
Publication:963516
DOI10.1155/2009/615107zbMath1186.47059OpenAlexW1980759219WikidataQ58648482 ScholiaQ58648482MaRDI QIDQ963516
Eric U. Ofoedu, Charles E. Chidume
Publication date: 20 April 2010
Published in: International Journal of Mathematics and Mathematical Sciences (Search for Journal in Brave)
Full work available at URL: https://eudml.org/doc/232733
strong convergencecommon fixed pointtotal asymptotically nonexpansive mappingsiterative sequenceuniformly convex real Banach space
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
A novel iterative algorithm applied to totally asymptotically nonexpansive mappings in CAT(0) spaces ⋮ Convergence theorems for finite families of total asymptotically nonexpansive mappings in hyperbolic spaces ⋮ Fixed Point of A New Type Nonself Total Asymptotically Nonexpansive Mappings in Banach Spaces ⋮ Multiple-set split feasibility problems for total asymptotically strict pseudocontractions mappings ⋮ Strong convergence theorems for nonlinear operator equations with total quasi-\(\varphi\)-asymptotically nonexpansive mappings and applications ⋮ Strong convergence of an explicit iteration process for a totally asymptotically \(I\)-nonexpansive mapping in Banach spaces ⋮ Strong convergence for total quasi-\(\phi\)-asymptotically nonexpansive semigroups in Banach spaces ⋮ Strong convergence to a fixed point of a total asymptotically nonexpansive mapping ⋮ On unification of the strong convergence theorems for a finite family of total asymptotically nonexpansive mappings in Banach spaces ⋮ Relaxed iterative algorithms for a system of generalized mixed equilibrium problems and a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive multi-valued maps, with applications ⋮ A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces ⋮ Unnamed Item ⋮ Convergence analysis of modified Picard-S hybrid iterative algorithms for total asymptotically nonexpansive mappings in Hadamard spaces
Cites Work
- Weak and strong convergence of a scheme with errors for two nonexpansive mappings
- Convergence of Ishikawa iterates of quasi-nonexpansive mappings
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Approximation of common fixed points for finite families of nonself asymptotically nonexpansive mappings in Banach spaces
- On Reich's strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
- Iterative approximation of fixed points
- Approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Nonlinear ergodic theorems for asymptotically nonexpansive mappings in Banach spaces satisfying Opial's condition
- A fixed point theorem for families of nonexpansive mappings
- A common fixed point theorem for a commuting family of nonexpansive mappings
- Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces
- A strong convergence theorem for asymptotically nonexpansive mappings in Banach spaces
- Approximating fixed points of nonexpansive mappings by the Ishikawa iteration process
- Fixed point iterations for certain nonlinear mappings
- Iterative approaches to finding nearest common fixed points of nonexpansive mappings in Hilbert spaces.
- Strong convergence of an implicit iteration process for a finite family of asymptotically quasi-nonexpansive mappings.
- Fixed-point iterations for asymptotically nonexpansive mappings in Banach spaces
- Mann and Ishikawa iterations with errors for non-Lipschitzian mappings in Banach spaces
- Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Fixed point theorems for non-Lipschitzian mappings of asymptotically nonexpansive type
- Strong and weak convergence theorems for asymptotically nonexpansive mappings.
- The approximation of fixed points of compositions of nonexpansive mappings in Hilbert space
- Strong convergence theorems on an iterative method for a family of finite nonexpansive mappings in reflexive Banach spaces
- Approximating fixed points of total asymptotically nonexpansive mappings
- Iterative schemes with some control conditions for a family of finite nonexpansive mappings in Banach spaces
- Convergence theorems for a common fixed point of a finite family of nonself nonexpansive mappings
- Geometric properties of Banach spaces and nonlinear iterations
- Fixed-point theorems for families of contraction mappings
- Common fixed points for commuting contraction mappings
- Weak and strong convergence criteria of Noor iterations for asymptotically nonexpansive mappings
- On the convergence of implicit iteration process with error for a finite family of asymptotically nonexpansive mappings
- Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Construction of Fixed Points for Asymptotically Nonexpansive Mappings
- A nonlinear ergodic theorem for asymptotically nonexpansive mappings
- The Nonlinear Ergodic Theorem for Asymptotically Nonexpansive Mappings in Banach Spaces
- Approximating Fixed Points of Nonexpansive Mappings
- Weak Convergence to the Fixed Point of an Asymptotically Nonexpansive Map
- Fixed point theorems for asymptotically nonexpansive mappings
- Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces
- Fixed Points by a New Iteration Method
- Convergence of paths and approximation of fixed points of asymptotically nonexpansive mappings
- Strong convergence theorem for asymptotically nonexpansive mappings
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
- Approximating common fixed points of two asymptotically quasi-nonexpansive mappings in Banach spaces
- Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
- Iterative sequences for asymptotically quasi-nonexpansive mappings.
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: A new iteration process for approximation of common fixed points for finite families of total asymptotically nonexpansive mappings
