Strong convergence for solving a general system of variational inequalities and fixed point problems in Banach spaces
From MaRDI portal
Publication:2437685
DOI10.1186/1029-242X-2013-334zbMath1357.49029WikidataQ59301121 ScholiaQ59301121MaRDI QIDQ2437685
Nawab Hussain, Abdul Latif, Jen-Chih Yao, Lu-Chuan Ceng
Publication date: 13 March 2014
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
fixed pointnonexpansive mappinguniform convexityuniformly Gâteaux differentiable normsunny nonexpansive retractiongeneral system of variational inequalitieshybrid viscosity approximation method
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Variational inequalities (49J40) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Construction algorithms for a class of monotone variational inequalities ⋮ On Mann's method with viscosity for nonexpansive and nonspreading mappings in Hilbert spaces ⋮ Strong convergence of iterative algorithm for a new system of generalized \(H(\cdots,\cdot)-\eta\)-cocoercive operator inclusions in Banach spaces
Cites Work
- Relaxed extragradient methods for finding minimum-norm solutions of the split feasibility problem
- The subgradient extragradient method for solving variational inequalities in Hilbert space
- Algorithms with strong convergence for a system of nonlinear variational inequalities in Banach spaces
- 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
- 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
- Strong convergence of three-step relaxed hybrid steepest-descent methods for variational inequalities
- Strong convergence theorem by a hybrid extragradient-like approximation method for variational inequalities and fixed point problems
- Strong convergence of composite iterative schemes for zeros of \(m\)-accretive operators in Banach spaces
- Best simultaneous approximations, asymptotically nonexpansive mappings and variational inequalities in Banach spaces
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- 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
- Strong convergence theorems for nonexpansive mappings and inverse-strongly monotone mappings
- Convergence analysis for variational inequality problems and fixed point problems in 2-uniformly smooth and uniformly convex Banach spaces
- On solutions of a system of variational inequalities and fixed point problems in 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
- Weak convergence theorem by an extragradient method for nonexpansive mappings and monotone mappings
- Convergence theorems for sequences of nonlinear operators in Banach spaces
- 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
- A New Projection Method for Variational Inequality Problems
- A variant of korpelevich’s method for variational inequalities with a new search strategy
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Variational inequalities
- Weak and strong convergence of solutions to accretive operator inclusions and applications
- Projection methods, algorithms, and a new system of nonlinear variational inequalities
