A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space

DOI10.1007/s13398-021-01036-0zbMath1481.47074OpenAlexW3141568060MaRDI QIDQ830325

Bunyawee Chaloemyotphong, Atid Kangtunyakarn

Publication date: 7 May 2021

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-021-01036-0

zbMATH Keywords

strong convergencenonexpansive mappingvariational inequality problemfixed point problemmodified viscosity iterative method

Mathematics Subject Classification ID

Variational and other types of inequalities involving nonlinear operators (general) (47J20) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)

Related Items

On stationary and nonstationary iterative methods for nonexpansive type mappings in Banach spaces ⋮ Variational inequality over the set of common solutions of a system of bilevel variational inequality problem with applications

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• The modification of system of variational inequalities for fixed point theory in Banach spaces
• Strong convergence of the hybrid method for a finite family of nonspreading mappings and variational inequality problems
• Weak convergence of an iterative sequence for accretive operators in Banach spaces
• Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
• Modified extragradient methods for a system of variational inequalities in Banach spaces
• Image recovery by convex combinations of sunny nonexpansive retractions
• An iterative approach to quadratic optimization
• Iterative methods with perturbations for the sum of two accretive operators in \(q\)-uniformly smooth Banach spaces
• Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings
• Viscosity approximation methods for fixed-points problems
• Asymptotic behavior of contractions in Banach spaces
• An existence principle for variational inequalities in Banach spaces
• A generalized forward-backward splitting method for solving a system of quasi variational inclusions in Banach spaces
• Systems of variational inequalities with hierarchical variational inequality constraints for asymptotically nonexpansive and pseudocontractive mappings
• The modified viscosity implicit rules for variational inequality problems and fixed point problems of nonexpansive mappings in Hilbert spaces
• Systems of generalized variational inequalities and their applications^∗
• Inequalities in Banach spaces with applications
• Algorithm method for solving the split general system of variational inequalities problem and fixed point problem of nonexpansive mapping with application
• Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces

This page was built for publication: A theorem for solving Banach generalized system of variational inequality problems and fixed point problem in uniformly convex and 2-uniformly smooth Banach space