Asymptotic Behaviour of ϕ-Nonexpansive Sequences and Mappings in Banach Spaces
DOI10.1080/01630563.2022.2066690zbMath1501.47096OpenAlexW4299164961MaRDI QIDQ5081635
Behzad Djafari Rouhani, Vahid Mohebbi, Hadi Khatibzadeh
Publication date: 17 June 2022
Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/01630563.2022.2066690
strong convergenceweak convergenceasymptotic behaviorasymptotically regular sequence\(\phi\)-nonexpansive sequence
Semigroups of nonlinear operators (47H20) Monotone operators and generalizations (47H05) Particular nonlinear operators (superposition, Hammerstein, Nemytski?, Uryson, etc.) (47H30) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Nonlinear ergodic theorems (47H25) Fixed-point iterations (47J26)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Asymptotic behaviour of almost nonexpansive sequences in a Hilbert space
- Asymptotic behaviour of quasi-autonomous dissipative systems in Hilbert spaces
- A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces
- Almost convergence and nonlinear ergodic theorems
- Ergodic and fixed point theorems for sequences and nonlinear mappings in a Hilbert space
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Ergodic theorems for hybrid sequences in a Hilbert space with applications
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Remarks on Minimal Sets for Cyclic Mappings in Uniformly Convex Banach Spaces
- Strict Convexity and Smoothness of Normed Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Strong Convergence of a Proximal-Type Algorithm in a Banach Space
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- Study of minimal invariant pairs for relatively nonexpansive mappings with respect to orbits
- Reflexive Banach spaces not isomorphic to uniformly convex spaces
- Convex Bodies and Periodic Homeomorphisms in Hilbert Space
