STRONG CONVERGENCE OF AN ITERATIVE ALGORITHM FOR SYSTEMS OF VARIATIONAL INEQUALITIES AND FIXED POINT PROBLEMS IN q-UNIFORMLY SMOOTH BANACH SPACES
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Publication:5863395
DOI10.11568/kjm.2012.20.2.225OpenAlexW4232690531MaRDI QIDQ5863395
Publication date: 11 March 2022
Published in: Korean Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.11568/kjm.2012.20.2.225
strong convergencevariational inequality\(q\)-uniformly smooth Banach space\(k\)-strict pseudo-contraction
Variational and other types of inequalities involving nonlinear operators (general) (47J20) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) (41A65)
Cites Work
- Hybrid methods for accretive variational inequalities involving pseudocontractions in Banach spaces
- Convergence theorems for strict pseudo-contractions in \(q\)-uniformly smooth Banach spaces
- Weak and strong convergence theorems for strict pseudo-contractions in Hilbert spaces
- Convergence theorems for \(\lambda \)-strict pseudo-contractions in 2-uniformly smooth Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Image recovery by convex combinations of sunny nonexpansive retractions
- Strong convergence of Krasnoselskii and Mann's type sequences for one-parameter nonexpansive semigroups without Bochner integrals
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Convergence criteria of iterative methods based on Landweber iteration for solving nonlinear problems
- Asymptotic behavior of contractions in Banach spaces
- Construction of fixed points of nonlinear mappings in Hilbert space
- An example on the Mann iteration method for Lipschitz pseudocontractions
- Iterative Algorithms for Nonlinear Operators
- Inequalities in Banach spaces with applications
- Fixed points of nonexpanding maps
- Properties of Fixed-Point Sets of Nonexpansive Mappings in Banach Spaces
- Mean Value Methods in Iteration