Strong convergence theorem for split monotone variational inclusion with constraints of variational inequalities and fixed point problems
DOI10.1186/s13660-018-1905-6zbMath1498.47122OpenAlexW2901980993WikidataQ59802418 ScholiaQ59802418MaRDI QIDQ824878
Jin-Lin Guan, Lu-Chuan Ceng, Bing Hu
Publication date: 15 December 2021
Published in: Journal of Inequalities and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13660-018-1905-6
strong convergencefixed pointvariational inequalityHilbert spacesiterative scheme\(k\)-strict pseudo-contractionssplit monotone variational inclusion
Variational inequalities (49J40) Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Variational and other types of inclusions (47J22)
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Cites Work
- Unnamed Item
- Strong convergence of a new general iterative method for variational inequality problems in Hilbert spaces
- A new general iterative scheme for split variational inclusion and fixed point problems of \(k\)-strict pseudo-contraction mappings with convergence analysis
- Some iterative methods for finding fixed points and for solving constrained convex minimization problems
- Split monotone variational inclusions
- Strong convergence of an iterative algorithm for variational inequalities in Banach spaces
- Algorithms for the split variational inequality problem
- On the convergence analysis of inexact hybrid extragradient proximal point algorithms for maximal monotone operators
- Convergence theorems of fixed points for \(\kappa \)-strict pseudo-contractions in Hilbert spaces
- Modified extragradient methods for a system of variational inequalities in Banach spaces
- A multiprojection algorithm using Bregman projections in a product space
- Weak convergence theorems for nonexpansive mappings and monotone mappings
- Weak and strong convergence theorems for fixed points of pseudocontractions and solutions of monotone type operator equations
- Viscosity approximation methods for nonexpansive mappings
- On the iterates of asymptotically \(k\)-strict pseudocontractive mappings in Hilbert spaces with convergence analysis
- Approximation of common fixed points of a countable family of nonexpansive mappings in a Banach space
- Iterative methods for strict pseudo-contractions in Hilbert spaces
- An extragradient-like approximation method for variational inequality problems and fixed point problems
- An iterative method for split variational inclusion problem and fixed point problem for a nonexpansive mapping
- Approximate proximal algorithms for generalized variational inequalities with pseudomonotone multifunctions
- Hybrid viscosity approximation schemes for equilibrium problems and fixed point problems of infinitely many nonexpansive mappings
- Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces
- Convergence theorems for fixed point problems and variational inequality problems in Hilbert spaces
- Iterative oblique projection onto convex sets and the split feasibility problem
- The Split Common Null Point Problem
- On the Maximality of Sums of Nonlinear Monotone Operators
- Strong convergence to common fixed points of infinite nonexpansive mappings and applications
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