Generalized viscosity implicit scheme with Meir-Keeler contraction for asymptotically nonexpansive mapping in Banach spaces
From MaRDI portal
Publication:2189416
DOI10.1007/s11075-019-00798-4zbMath1442.47065OpenAlexW2974554643MaRDI QIDQ2189416
Md. Kalimuddin Ahmad, Rajat Vaish
Publication date: 15 June 2020
Published in: Numerical Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11075-019-00798-4
strong convergenceasymptotically nonexpansive mappingBanach spaceviscosity approximation methodimplicit iterationMeir-Keeler contraction
Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Applications of operator theory in optimization, convex analysis, mathematical programming, economics (47N10) Fixed-point iterations (47J26)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
- A general iteration scheme for variational inequality problem and common fixed point problems of nonexpansive mappings in \(q\)-uniformly smooth Banach spaces
- Iterative methods for fixed point problems in Hilbert spaces
- Iterative construction of fixed points of asymptotically nonexpansive mappings
- Moudafi's viscosity approximations with Meir--Keeler contractions
- Iterative approximation of fixed points
- Algorithms of common solutions to quasi variational inclusion and fixed point problems
- Product formulas, nonlinear semigroups, and accretive operators
- Fixed point iterations for certain nonlinear mappings
- An iterative approach to quadratic optimization
- Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Convergence analysis of modified viscosity implicit rules of asymptotically nonexpansive mappings in Hilbert spaces
- Viscosity approximation methods for nonexpansive mappings
- Mann and Ishikawa iterations with errors for asymptotically nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- Asymptotic behavior of contractions in Banach spaces
- The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
- An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
- Viscosity approximation methods for asymptotically nonexpansive mappings
- Characterization of the subdifferentials of convex functions
- A theorem on contraction mappings
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Analytic Inequalities
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
- Weak and strong convergence theorems for fixed points of asymptotically nonexpansive mappings
