Strong convergence of approximated iterations for asymptotically pseudocontractive mappings

DOI10.1186/1687-1812-2014-100zbMath1332.47057OpenAlexW2098948522WikidataQ59323987 ScholiaQ59323987MaRDI QIDQ2264173

Yonghong Yao, Mihai Postolache, Kang, Shin Min

Publication date: 20 March 2015

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-100

zbMATH Keywords

fixed pointHilbert spaceiterative algorithmsasymptotically pseudocontractive mappings

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15)

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Cites Work

• Unnamed Item
• Unnamed Item
• Convergence of algorithms for fixed points of generalized asymptotically quasi-\(\phi\)-nonexpansive mappings with applications
• Strong convergence of a CQ method for \(k\)-strictly asymptotically pseudocontractive mappings
• Convergence theorems for mixed type asymptotically nonexpansive mappings
• Fixed point solutions of variational inequalities for a semigroup of asymptotically nonexpansive mappings in Banach spaces
• Approximation of the common minimum-norm fixed point of a finite family of asymptotically nonexpansive mappings
• A weak convergence theorem for total asymptotically pseudocontractive mappings in Hilbert spaces
• Iterative construction of fixed points of asymptotically nonexpansive mappings
• Implicit iterative algorithms for asymptotically nonexpansive mappings in the intermediate sense and Lipschitz-continuous monotone mappings
• Approximation methods for common fixed points of nonexpansive mappings in Hilbert spaces
• Weak and strong convergence theorems for finite families of asymptotically nonexpansive mappings in Banach spaces
• The viscosity approximation method for asymptotically nonexpansive mappings in Banach spaces
• Demiclosedness principle with applications for asymptotically pseudo-contractions in Hilbert spaces
• Approximating solutions of variational inequalities for asymptotically nonexpansive mappings
• Strong convergence of averaged approximants for asymptotically nonexpansive mappings in Banach spaces
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Approximate fixed point sequences and convergence theorems for asymptotically pseudocontractive mappings.
• Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
• Strong convergence to common fixed points of a finite family of asymptotically nonexpansive mappings
• Fixed point solutions of variational inequalities for a finite family of asymptotically nonexpansive mappings without common fixed point assumption
• Fixed point solutions of variational inequalities for asymptotically nonexpansive mappings in Banach spaces
• Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
• On the convergence of modified Noor iterations with errors for asymptotically nonexpansive mappings
• Iterative Algorithms for Nonlinear Operators
• Strong Convergence Theorems for Continuous Semigroups of Asymptotically Nonexpansive Mappings
• Approximation of Fixed Points of Asymptotically Nonexpansive Mappings
• Strong convergence theorems for asymptotically nonexpansive semigroups in Hilbert spaces
• Fixed point theorems for asymptotically nonexpansive mappings
• Strong convergence theorem for asymptotically nonexpansive mappings
• Convergence theorems of the sequence of iterates for asymptotically demicontractive and hemicontractive mappings
• A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
• Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings

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