Strong convergence theorems for two total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
DOI10.1155/2014/379523zbMath1407.47008OpenAlexW2040251664WikidataQ59064810 ScholiaQ59064810MaRDI QIDQ1718234
Xiao-jian Hui, Hui Xing, Xi-bing He
Publication date: 8 February 2019
Published in: Mathematical Problems in Engineering (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2014/379523
strong convergenceBanach spacecommon fixed pointtotal quasi-\(\phi\)-asymptotically nonexpansive mappings
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Strong convergence theorems for nonlinear operator equations with total quasi-\(\varphi\)-asymptotically nonexpansive mappings and applications
- On a hybrid algorithm for a family of total quasi-\(\phi\)-asymptotically nonexpansive mappings in Banach spaces
- Total quasi-\(\phi\)-asymptotically nonexpansive semigroups and strong convergence theorems in Banach spaces
- A modified Halpern-type iteration algorithm for totally quasi-\(\phi \)-asymptotically nonexpansive mappings with applications
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
- Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings
- Convergence of a Halpern-type iteration algorithm for a class of pseudo-contractive mappings
- Strong convergence of a modified Halpern's iteration for nonexpansive mappings
- Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
- Iterative approximation of fixed points of nonexpansive mappings
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
- Strong convergence of the CQ method for fixed point iteration processes
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Fixed Points by a New Iteration Method
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Fixed Point Theory for Lipschitzian-type Mappings with Applications
- Fixed points of nonexpanding maps
- Mean Value Methods in Iteration
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