Approximation of a common \(f\)-fixed point of \(f\)-pseudocontractive mappings in Banach spaces
DOI10.1007/s12215-020-00549-8OpenAlexW3048422623MaRDI QIDQ2243639
Getahun Bekele Wega, Habtu Zegeye
Publication date: 11 November 2021
Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s12215-020-00549-8
Banach spacesstrong convergencemonotone mappingzero pointssemi-pseudocontractive mapping\(f\)-fixed point\(f\)-pseudocontractive mappingsemi-fixed points
Convex programming (90C25) Monotone operators and generalizations (47H05) Nonlinear accretive operators, dissipative operators, etc. (47H06) Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) 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
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Approximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Right Bregman nonexpansive operators in Banach spaces
- Strong convergence theorems for a common fixed point of a finite family of pseudocontractive mappings
- A projection method for solving nonlinear problems in reflexive Banach spaces
- Strong convergence for a countable family of strict pseudocontractions in -uniformly smooth Banach spaces
- Convex functions, monotone operators and differentiability.
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Duality fixed point and zero point theorems and applications
- Strong convergence theorems for maximal monotone mappings in 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
- An iterative row-action method for interval convex programming
- Product formulas, nonlinear semigroups, and accretive operators
- Characteristic inequalities of uniformly convex and uniformly smooth Banach spaces
- Introductory lectures on convex optimization. A basic course.
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Viscosity approximation methods for nonexpansive mappings
- Fixed point of strong duality pseudocontractive mappings and applications
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- Iterative methods for approximating fixed points of Bregman nonexpansive operators
- Approximation of zeros of bounded maximal monotone mappings, solutions of Hammerstein integral equations and convex minimization problems
- Convergence results of forward-backward method for a zero of the sum of maximally monotone mappings in Banach spaces
- Bregman weak relatively nonexpansive mappings in Banach spaces
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Geometric properties of Banach spaces and nonlinear iterations
- Construction of fixed points of nonlinear mappings in Hilbert space
- Nonlinear semigroups and evolution equations
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Convex Optimization in Normed Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- A limit theorem for projections
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Re-examination of Bregman functions and new properties of their divergences
- A halpern-type iteration for solving the split feasibility problem and the fixed point problem of Bregman relatively nonexpansive semigroup in Banach spaces
- Nonlinear mappings of nonexpansive and accretive type in Banach spaces
- Existence and Approximation of Fixed Points of Right Bregman Nonexpansive Operators