Convergence analysis of generalized viscosity implicit rules for a nonexpansive semigroup with gauge functions
From MaRDI portal
Publication:5225441
DOI10.22436/jnsa.011.09.02zbMath1438.47119OpenAlexW2808956686MaRDI QIDQ5225441
Poom Kumam, Pongsakorn Sunthrayuth, Nuttapol Pakkaranang
Publication date: 22 July 2019
Published in: Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.22436/jnsa.011.09.02
Semigroups of nonlinear operators (47H20) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Equations involving nonlinear operators (general) (47J05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Viscosity approximation methods for zeros of accretive operators and fixed point problems in Banach spaces
- The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
- Viscosity approximation methods for a nonexpansive semigroup in Banach spaces with gauge functions
- Asymptotic expansions of the global error for the implicit midpoint rule (stiff case)
- Viscosity approximation methods for a finite family of nonexpansive mappings in Banach spaces
- Viscosity approximation methods for nonexpansive mapping sequences in Banach spaces
- Convergence to common fixed point of nonexpansive semigroups
- Viscosity approximative methods to Cesàro means for non-expansive mappings
- Viscosity approximation methods for generalized equilibrium problems and fixed point problems with applications
- A semi-implicit mid-point rule for stiff systems of ordinary differential equations
- Analysis of the linearly implicit mid-point rule for differential- algebraic equations
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Asymptotic error expansions for stiff equations: An analysis for the implicit midpoint and trapezoidal rules in the strongly stiff case
- Viscosity approximation methods for nonexpansive mappings
- Viscosity approximation methods for fixed-points problems
- The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Viscosity approximation of common fixed points of nonexpansive semigroups in Banach space
- An explicit construction of sunny nonexpansive retractions in Banach spaces
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- Construction of sunny nonexpansive retractions in Banach spaces
- Recent Progress in Extrapolation Methods for Ordinary Differential Equations
- One-Parameter Semigroups for Linear Evolution Equations
- Fixed point theorems for asymptotically nonexpansive mappings
- Implicit Midpoint Rule to the Nonlinear Degenerate Boundary Value Problems
- Another control condition in an iterative method for nonexpansive mappings
- Viscosity Solutions of Minimization Problems
