On asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense
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Publication:1938259
DOI10.1155/2012/636217zbMath1256.47054OpenAlexW1587912475WikidataQ58695747 ScholiaQ58695747MaRDI QIDQ1938259
Publication date: 4 February 2013
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2012/636217
strong convergenceasymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate senseprojection iterative process
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Zeros of accretive operators
- On hybrid projection methods for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Strong convergence of modified Ishikawa iterations for nonlinear mappings
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
- Ein Fixpunktsatz
- Fixed points of uniformly Lipschitzian mappings in spaces with uniformly normal structure
- Shrinking Projection Methods for a Pair of Asymptotically Quasi-φ-Nonexpansive Mappings
- Existence and convergence for fixed points of mappings of asymptotically nonexpansive type
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- On Projection Algorithms for Solving Convex Feasibility Problems
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE
- Generalized Projection Algorithms for Nonlinear Operators
- A Fixed Point Theorem for Mappings which do not Increase Distances
- Fixed points of quasi-nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings