Mann-type extragradient methods for general systems of variational inequalities with multivalued variational inclusion constraints in Banach spaces
DOI10.1155/2013/616549zbMath1470.47053OpenAlexW2163375719WikidataQ58917324 ScholiaQ58917324MaRDI QIDQ2318897
Abdul Latif, Lu-Chuan Ceng, Saleh Abdullah Al-Mezel
Publication date: 16 August 2019
Published in: Abstract and Applied Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1155/2013/616549
strong convergenceweak convergencenonexpansive mappingscommon fixed pointsKorpelevich's extragradient methodsystem of variational inequalitiesMann-type extragradient algorithmmultivalued variational inclusionsmooth uniformly convex Banach spaceuniformly convex 2-uniformly smooth Banach space
Variational inequalities (49J40) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)
Cites Work
- An extragradient-like approximation method for variational inequalities and fixed point problems
- Finding common solutions of a variational inequality, a general system of variational inequalities, and a fixed-point problem via a hybrid extragradient method
- Algorithms with strong convergence for a system of nonlinear variational inequalities in Banach spaces
- Relaxed extragradient iterative methods for variational inequalities
- Strong convergence theorem by an extragradient method for fixed point problems and variational inequality problems
- Strong convergence theorems by a relaxed extragradient method for a general system of variational inequalities
- Weak convergence theorems for nonexpansive mappings in Banach spaces
- On the existence and iterative approximation problems of solutions for set-valued variational inclusions in Banach spaces
- Existence and convergence theorems for a class of multi-valued variational inclusions in Banach spaces
- Iterative approaches to common fixed points of nonexpansive mappings in Banach spaces
- On \(\varphi\)-strongly accretive mappings and some set-valued variational problems
- 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
- Multi-valued contraction mappings
- 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
- Approximation methods for nonlinear operator equations
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