Strong convergence of hybrid Halpern iteration for Bregman totally quasi-asymptotically nonexpansive multi-valued mappings in reflexive Banach spaces with application
From MaRDI portal
Publication:286927
DOI10.1186/1687-1812-2014-186zbMath1345.49006OpenAlexW2101404227WikidataQ59323351 ScholiaQ59323351MaRDI QIDQ286927
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/10.1186/1687-1812-2014-186
fixed pointLegendre functionsBregman projectionshrinking projection methodBregman totally quasi-asymptotically nonexpansive multi-valued mappinghybrid Halpern's iteration
Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Existence theories for problems in abstract spaces (49J27)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
- Right Bregman nonexpansive operators in Banach spaces
- Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
- Strong convergence theorems for two countable families of weak relatively nonexpansive mappings and applications
- A modified Halpern-type iteration algorithm for a family of hemi-relatively nonexpansive mappings and systems of equilibrium problems in Banach spaces
- Strong convergence theorems by Halpern-Mann iterations for relatively nonexpansive mappings in Banach spaces
- Convex functions, monotone operators and differentiability.
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Convergence of a modified Halpern-type iteration algorithm for quasi-\(\phi\)-nonexpansive mappings
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- The Bregman distance, approximate compactness and convexity of Chebyshev sets in Banach spaces
- The viscosity approximation process for quasi-nonexpansive mappings in Hilbert spaces
- An iterative row-action method for interval convex programming
- Strong convergence theorems for resolvents of accretive operators in Banach spaces
- An iterative approach to quadratic optimization
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Halpern's iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Bregman Monotone Optimization Algorithms
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Strong convergence theorems for Bregman quasi-asymptotically nonexpansive mappings and equilibrium problem in reflexive Banach spaces
- Level Sets and Continuity of Conjugate Convex Functions
- Fixed points of nonexpanding maps
- Gradients of Convex Functions
- Convex Analysis
- A Fixed Point Theorem for Asymptotically Nonexpansive Mappings
