Composite iterative algorithms for variational inequality and fixed point problems in real smooth and uniformly convex Banach spaces
DOI10.1155/2013/761864zbMath1271.47054OpenAlexW2131447922WikidataQ59004329 ScholiaQ59004329MaRDI QIDQ364521
Publication date: 9 September 2013
Published in: Journal of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/761864
strong convergenceviscosity approximation methodKorpelevich's extragradient methodcomposite implicit and explicit iterative algorithmsreal smooth uniformly convex Banach space
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Cites Work
- Unnamed Item
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- An extragradient-like approximation method for variational inequalities and fixed point problems
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method
- Relaxed extragradient iterative methods for variational inequalities
- An extragradient method for solving split feasibility and fixed point problems
- Weak convergence of an iterative method for pseudomonotone variational inequalities and fixed-point problems
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- On modified iterative method for nonexpansive mappings and monotone mappings
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- A new iteration method for nonexpansive mappings and monotone mappings in Hilbert spaces
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Viscosity approximation methods for nonexpansive mappings
- Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- Iterative Algorithms for Nonlinear Operators
- Strong Convergence of an Iterative Method with Perturbed Mappings for Nonexpansive and Accretive Operators
- Inequalities in Banach spaces with applications
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
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