A new iterative scheme of modified Mann iteration in Banach space
From MaRDI portal
Publication:1722504
DOI10.1155/2014/264909zbMath1472.47069OpenAlexW2095506995WikidataQ59037329 ScholiaQ59037329MaRDI QIDQ1722504
Dingping Wu, Caifen Zhang, Jin-Zuo Chen
Publication date: 14 February 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/264909
strong convergenceuniformly convex Banach spaceaccretive operatorsasymptotically nonexpansive mappingsmodified iterations of Mann-type
Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Utilizing an integrating factor to convert a right focal boundary value problem to a fixed point problem ⋮ Two iterative algorithms for solving the split common fixed point problems ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Approximating common fixed points of nonspreading-type mappings and nonexpansive mappings in a Hilbert space
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
- Strong convergence of modified Mann iterations
- Construction of fixed points of nonlinear mappings in Hilbert space
- Convergence criteria of modified Noor iterations with errors for asymptotically nonexpansive mappings
- Iterative Algorithms for Nonlinear Operators
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Approximating Fixed Points of Nonexpansive Mappings
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- FIXED-POINT THEOREMS FOR NONCOMPACT MAPPINGS IN HILBERT SPACE
- Fixed points of nonexpanding maps
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration