Inertial algorithm for approximating a common fixed point for a countable family of relatively nonexpansive maps
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Publication:1654441
DOI10.1186/s13663-018-0634-3zbMath1467.47039OpenAlexW2792919476WikidataQ130190097 ScholiaQ130190097MaRDI QIDQ1654441
S. I. Ikechukwu, A. Adamu, Charles E. Chidume
Publication date: 8 August 2018
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-018-0634-3
Monotone operators and generalizations (47H05) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)
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Cites Work
- Inertial Douglas-Rachford splitting for monotone inclusion problems
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- Modified inertial Mann algorithm and inertial CQ-algorithm for nonexpansive mappings
- An inertial forward-backward algorithm for monotone inclusions
- Strong convergence theorems for maximal monotone mappings in Banach spaces
- Modified block iterative algorithm for solving convex feasibility problems in Banach spaces
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- A new projection and convergence theorems for the projections in Banach spaces
- Geometric properties of Banach spaces and nonlinear iterations
- Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Some methods of speeding up the convergence of iteration methods
- An inertial proximal method for maximal monotone operators via discretization of a nonlinear oscillator with damping
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