Strong convergence theorems by hybrid method for asymptotically \(k\)-strict pseudo-contractive mapping in Hilbert space
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Publication:1036620
DOI10.1016/j.nahs.2009.02.002zbMath1223.47079OpenAlexW2038883722MaRDI QIDQ1036620
Issara Inchan, Kamonrat Nammanee
Publication date: 13 November 2009
Published in: Nonlinear Analysis. Hybrid Systems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.nahs.2009.02.002
strong convergenceOpial's conditionasymptotically \(k\)-strict pseudo-contractive mappingMann's iteration method
Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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On the strong convergence of an iterative process for asymptotically strict pseudocontractions and equilibrium problems ⋮ On the hybrid projection method for fixed point and equilibrium problems ⋮ A hybrid iteration for asymptotically strictly pseudocontractive mappings ⋮ A hybrid algorithm with variable coefficients for asymptotically pseudocontractive mappings in the intermediate sense on unbounded domains ⋮ Weak and strong convergence theorems for asymptotically pseudo-contraction mappings in the intermediate sense in Hilbert spaces ⋮ On a generalized Ky Fan inequality and asymptotically strict pseudocontractions in the intermediate sense ⋮ Hybrid extragradient methods for asymptotically strict pseudo-contractions in the intermediate sense and variational inequality problems
Cites Work
- Unnamed Item
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Convergence of the modified Mann's iteration method for asymptotically strict pseudo-contractions
- Strong convergence of modified Mann iterations for asymptotically nonexpansive mappings and semigroups
- Construction of fixed points of nonlinear mappings in Hilbert space
- Approximation of Fixed Points of Asymptotically Nonexpansive Mappings
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Fixed point theorems for asymptotically nonexpansive mappings
- Fixed Point Iteration Processes for Asymptotically Nonexpansive Mappings
- Fixed Points by a New Iteration Method
- Weak convergence of the sequence of successive approximations for nonexpansive mappings
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Mean Value Methods in Iteration
- A general iterative method for equilibrium problems and fixed point problems in Hilbert spaces
