A strong convergence theorem for Bregman asymptotically quasi-nonexpansive mappings in the intermediate sense
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Publication:286908
DOI10.1186/1687-1812-2014-154zbMath1345.47051OpenAlexW2099873367WikidataQ59395774 ScholiaQ59395774MaRDI QIDQ286908
Publication date: 26 May 2016
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-1812-2014-154
Bregman projectionBregman distanceLegendre functionasymptotically quasi-nonexpansive in the intermediate sensetotally convex function
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
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Cites Work
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- Strong convergence iterative algorithms for equilibrium problems and fixed point problems in Banach spaces
- On the convergence of hybrid projection algorithms for asymptotically quasi-\(\phi\)-nonexpansive mappings
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- An iterative row-action method for interval convex programming
- Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces
- Totally convex functions for fixed points computation and infinite dimensional optimization
- On asymptotically quasi-\(\phi\)-nonexpansive mappings in the intermediate sense
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Strong convergence theorems by hybrid methods for families of nonexpansive mappings in Hilbert spaces
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Some results on a modified Mann iterative scheme in a reflexive Banach space
- Projection algorithms for treating asymptotically quasi-\(\phi \)-nonexpansive mappings in the intermediate sense
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Convexity and Optimization in Banach Spaces
- Convergence Analysis of a Proximal-Like Minimization Algorithm Using Bregman Functions
- Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Convergence of iterates of asymptotically nonexpansive mappings in Banach spaces with the uniform Opial property
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings