Iterative schemes for approximating solution of nonlinear operators in Banach spaces
DOI10.1186/1687-1812-2013-199zbMath1476.47072OpenAlexW2103980509WikidataQ59299617 ScholiaQ59299617MaRDI QIDQ2253222
Siwaporn Saewan, Preedaporn Kanjanasamranwong, Yeol Je Cho, Poom Kumam
Publication date: 25 July 2014
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2013-199
maximal monotone operatorsvariational inequalitiestotally quasi-\(\phi\)-asymptotically nonexpansive mappinggeneralized \(f\)-projection operatorssystem of generalized Ky Fan's inequalities
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A modified Mann iterative scheme by generalized \(f\)-projection for a countable family of relatively quasi-nonexpansive mappings and a system of generalized mixed equilibrium problems
- Convergence analysis for finite family of relatively quasi nonexpansive mappings and systems of equilibrium problems
- 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 theorems for relatively nonexpansive mappings in Banach spaces with applications
- Iterative approaches to find zeros of maximal monotone operators by hybrid approximate proximal point methods
- On convergence criteria of generalized proximal point algorithms
- Approximate proximal point algorithms for finding zeroes of maximal monotone operators in Hilbert spaces
- A new hybrid method for solving a generalized equilibrium problem, solving a variational inequality problem and obtaining common fixed points in Banach spaces, with applications
- 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
- On some algorithms in Banach spaces finding fixed points of nonlinear mappings
- Convergence of generalized proximal point algorithms
- Strong convergence of an iterative sequence for maximal monotone operators in a Banach space
- Strong convergence theorems for relatively nonexpansive mappings in a Banach space
- Convergence theorems of a modified hybrid algorithm for a family of quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Approximative compactness and full rotundity in Musielak--Orlicz spaces and Lorentz--Orlicz spaces
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- Approximating zeros of monotone operators by proximal point algorithms
- Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Monotone Operators and the Proximal Point Algorithm
- Asymptotic Behavior of Relatively Nonexpansive Operators in Banach Spaces
- Iterations of paracontractions and firmaly nonexpansive operators with applications to feasibility and optimization
- 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
- On the Maximality of Sums of Nonlinear Monotone Operators
- Generalized Projection Operators in Banach Spaces: Properties and Applications
This page was built for publication: Iterative schemes for approximating solution of nonlinear operators in Banach spaces
