Approximation method for solving fixed point problem of Bregman strongly nonexpansive mappings in reflexive Banach spaces
From MaRDI portal
Publication:310502
DOI10.1007/s11587-016-0262-3zbMath1351.47052OpenAlexW2327154698MaRDI QIDQ310502
Publication date: 8 September 2016
Published in: Ricerche di Matematica (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11587-016-0262-3
common fixed pointBregman strongly nonexpansive mappingstrongly convergenceuniformly Fréchet differentiable
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
Generalized equilibrium and fixed point problems for Bregman relatively nonexpansive mappings in Banach spaces, A common solution of f-fixed point and variational inequality problems in Banach spaces, Convergence results for a zero of the sum of a finite family of maximal monotone mappings in Banach spaces, Approximation of common solution of finite family of monotone inclusion and fixed point problems for demicontractive multivalued mappings in CAT(0) spaces, An inertial method for split equality common \(f, g\)-fixed point problems of \(f, g\)-pseudocontractive mappings in reflexive real Banach spaces, A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces, A modified contraction method for solving certain class of split monotone variational inclusion problems with application, An inertial method for a solution of split equality of monotone inclusion and the f$$ f $$‐fixed point problems in Banach spaces, Convergence results of forward-backward method for a zero of the sum of maximally monotone mappings in Banach spaces, Unnamed Item, Unnamed Item, Approximation of a common \(f\)-fixed point of \(f\)-pseudocontractive mappings in Banach spaces, Unnamed Item, Approximating a Zero of Sum of Two Monotone Operators Which Solves a Fixed Point Problem in Reflexive Banach Spaces, Convergence analysis for variational inequalities and fixed point problems in reflexive Banach spaces, A strong convergence theorem for approximation of a zero of the sum of two maximal monotone mappings in Banach spaces
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
- A class of piecewise interpolating functions based on barycentric coordinates
- Convex functions, monotone operators and differentiability.
- Halpern's iteration for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Piecewise Hermite interpolation via barycentric coordinates
- Strong convergence theorem for a family of Lipschitz pseudocontractive mappings in a Hilbert space
- 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
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Bregman strongly nonexpansive operators in reflexive Banach spaces
- 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
- Convergence theorems for Bregman strongly nonexpansive mappings in reflexive Banach spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Another control condition in an iterative method for nonexpansive mappings
- ESSENTIAL SMOOTHNESS, ESSENTIAL STRICT CONVEXITY, AND LEGENDRE FUNCTIONS IN BANACH SPACES
- Metric and Generalized Projection Operators in Banach Spaces: Properties and Applications