The generalized viscosity implicit rule of nonexpansive semigroup in Banach spaces
From MaRDI portal
Publication:5225412
DOI10.22436/jnsa.011.06.02zbMath1438.47096OpenAlexW2802742470MaRDI QIDQ5225412
Somyot Plubtieng, Chaichana Jaiboon, Phayap Katchang
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.011.06.02
strong convergencefixed pointBanach spaceuniformly convex Banach spacesimplicitnonexpansive semigroupuniformly smooth Banach spacesimplicit iterative algorithmsgeneralized viscositygeneralized viscosity methods
Semigroups of nonlinear operators (47H20) Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- The generalized viscosity implicit rules of nonexpansive mappings in Hilbert spaces
- Moudafi's viscosity approximations with Meir--Keeler contractions
- Viscosity approximation methods based on generalized contraction mappings for a countable family of strict pseudo-contractions, a general system of variational inequalities and a generalized mixed equilibrium problem in Banach spaces
- Fixed point properties of semigroups of non-expansive mappings
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Strong convergence of Mann's-type iterations for nonexpansive semigroups in general Banach spaces
- An iterative method for variational inequality problems
- The viscosity technique for the implicit midpoint rule of nonexpansive mappings in Hilbert spaces
- Hybrid method for a class of accretive variational inequalities involving nonexpansive mappings
- Some geometric properties related to the fixed point theory for nonexpansive mappings
- Iterative Algorithms for Nonlinear Operators
- Strong convergence theorems for the generalized viscosity implicit rules of nonexpansive mappings in uniformly smooth Banach spaces
- On characterizations of Meir-Keeler contractive maps
