The modified Mann type iterative algorithm for a countable family of totally quasi-\(\phi\)-asymptotically nonexpansive mappings by the hybrid generalized f-projection method
From MaRDI portal
Publication:2444823
DOI10.1186/1687-1812-2013-63zbMath1423.47049OpenAlexW2171787375WikidataQ59293429 ScholiaQ59293429MaRDI QIDQ2444823
Poom Kumam, Siwaporn Saewan, Preedaporn Kanjanasamranwong, Yeol Je Cho
Publication date: 11 April 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-63
generalized \(f\)-projection operatortotally quasi-\(\phi\)-asymptotically nonexpansive mappingmodified Mann type iterative sequence
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
On a cyclic Jungck modified \(TS\)-iterative procedure with application examples ⋮ An iterative method for total quasi-\(\phi\)-asymptotically nonexpansive semi-groups and generalized mixed equilibrium problems in Banach spaces ⋮ A Mann type hybrid generalized \(f\)-projection iterative method for a class of nonlinear mappings ⋮ Best proximity and fixed point results for cyclic multivalued mappings under a generalized contractive condition ⋮ Best proximity points of generalized semicyclic impulsive self-mappings: applications to impulsive differential and difference equations ⋮ Unnamed Item
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Hybrid algorithm for fixed points of weak relatively nonexpansive mappings and applications
- A hybrid iterative scheme for a maximal monotone operator and two countable families of relatively quasi-nonexpansive mappings for generalized mixed equilibrium and variational inequality problems
- Strong convergence to common fixed points for countable families of asymptotically nonexpansive mappings and semigroups
- Strong convergence theorems for relatively nonexpansive mappings in Banach spaces with applications
- Strong convergence to common fixed points of countable relatively quasi-nonexpansive mappings
- Strongly convergent approximations to fixed points of total asymptotically nonexpansive mappings
- Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces
- Approximation of common fixed points of a countable family of relatively nonexpansive mappings
- Convergence theorems of common elements for equilibrium problems and fixed point problems in Banach spaces
- Iterative schemes for approximating solutions of generalized variational inequalities in Banach spaces
- An example concerning fixed points
- Projection and proximal point methods: Convergence results and counterexamples.
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Approximating fixed points of total asymptotically nonexpansive mappings
- Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- Weak Convergence of Orbits of Nonlinear Operators in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Generalized Projection Algorithms for Nonlinear Operators
- The generalised f-projection operator with an application
- Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Weak-to-Strong Convergence Principle for Fejér-Monotone Methods in Hilbert Spaces
- Mean Value Methods in Iteration
