A new multi-step iterative algorithm for approximating common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings
From MaRDI portal
Publication:1736800
DOI10.3390/a9020037zbMath1466.47043OpenAlexW2407736079WikidataQ59306864 ScholiaQ59306864MaRDI QIDQ1736800
Khajonpong Akkarajitsakul, Wiyada Kumam, Poom Kumam, Phond Phunchongharn, Pongsakorn Sunthrayuth, Parinya Sa Ngiamsunthorn
Publication date: 26 March 2019
Published in: Algorithms (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.3390/a9020037
strong convergencereflexive Banach spacesiterative methodscommon fixed pointvariational inequality problemsmaximal monotonemulti-valued Bregman relatively nonexpansive mapping
Monotone operators and generalizations (47H05) Iterative procedures involving nonlinear operators (47J25) Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence results of two-steps modifying Halpern's iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application
- Convergence theorems for maximal monotone operators and fixed point problems in Banach spaces
- Strong convergence theorems for Bregman \(W\)-mappings with applications to convex feasibility problems in Banach spaces
- Fixed point and weak convergence theorems for point-dependent \(\lambda\)-hybrid mappings in Banach spaces
- Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
- Convergence results for a common solution of a finite family of variational inequality problems for monotone mappings with Bregman distance function
- Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
- A projection method for solving nonlinear problems in reflexive Banach spaces
- Convex functions, monotone operators and differentiability.
- 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
- Strong convergence of projected subgradient methods for nonsmooth and nonstrictly convex minimization
- Ergodic convergence to a zero of the sum of monotone operators in Hilbert space
- An iterative row-action method for interval convex programming
- Forcing strong convergence of proximal point iterations in a Hilbert space
- The modified Ishikawa iterative algorithm with errors for a countable family of Bregman totally quasi-\(D\)-asymptotically nonexpansive mappings in reflexive Banach spaces
- Bregman weak relatively nonexpansive mappings in Banach spaces
- Halpern's iteration for Bregman strongly nonexpansive multi-valued mappings in reflexive Banach spaces with application
- Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- On some non-linear elliptic differential functional equations
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- On the Convergence of the Proximal Point Algorithm for Convex Minimization
- Bregman Monotone Optimization Algorithms
- A unified treatment of some iterative algorithms in signal processing and image reconstruction
- Another control condition in an iterative method for nonexpansive mappings
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Finite-Dimensional Variational Inequalities and Complementarity Problems
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications
- A Proximal-Projection Method for Finding Zeros of Set-Valued Operators
- Level Sets and Continuity of Conjugate Convex Functions
- Gradients of Convex Functions
- Convex Analysis
- Generalized Projection Operators in Banach Spaces: Properties and Applications
