The modified Ishikawa iterative algorithm with errors for a countable family of Bregman totally quasi-\(D\)-asymptotically nonexpansive mappings in reflexive Banach spaces
From MaRDI portal
Publication:2017849
DOI10.1186/s13663-015-0283-8zbMath1312.47085OpenAlexW2126037592WikidataQ59435971 ScholiaQ59435971MaRDI QIDQ2017849
Publication date: 23 March 2015
Published in: Fixed Point Theory and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13663-015-0283-8
fixed pointBanach spaceBregman projectiongeneralized mixed equilibrium problemBregman distanceshrinking projection methodasymptotically Bregman totally quasi-\(D\)-asymptotically nonexpansive mapping
Iterative procedures involving nonlinear operators (47J25) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09)
Related Items
General semi-implicit approximations with errors for common fixed points of nonexpansive-type operators and applications to Stampacchia variational inequality, A new multi-step iterative algorithm for approximating common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings, Hybrid projection methods for Bregman totally quasi-D-asymptotically nonexpansive mappings
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Strong convergence theorem for Bregman strongly nonexpansive mappings and equilibrium problems in reflexive Banach spaces
- Halpern-Mann's iterations for Bregman strongly nonexpansive mappings in reflexive Banach spaces with applications
- Hybrid projection method for generalized mixed equilibrium problem and fixed point problem of infinite family of asymptotically quasi-\(\phi \)-nonexpansive mappings in Banach spaces
- Right Bregman nonexpansive operators in Banach spaces
- Strong convergence theorems for Bregman totally quasi-asymptotically nonexpansive mappings in reflexive Banach spaces
- Modified block iterative algorithm for quasi-\(\phi\)-asymptotically nonexpansive mappings and equilibrium problem in Banach spaces
- A strong convergence theorem for relatively nonexpansive mappings in a Banach space
- A hybrid projection method for generalized mixed equilibrium problems and fixed point problems in Banach spaces
- A hybrid iterative scheme for a maximal monotone operator and two countable families of relatively quasi-nonexpansive mappings for generalized mixed equilibrium and variational inequality problems
- A projection method for solving nonlinear problems in reflexive Banach spaces
- Hybrid approximation of solutions of nonlinear operator equations and application to equation of Hammerstein-type
- Approximation of fixed points of weak Bregman relatively nonexpansive mappings in Banach spaces
- The shrinking projection method for solving variational inequality problems and fixed point problems in Banach spaces
- Convergence theorem based on a new hybrid projection method for finding a common solution of generalized equilibrium and variational inequality problems in Banach spaces
- Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
- Convergence of a hybrid projection algorithm in Banach spaces
- On the strong convergence of the implicit iterative processes for a finite family of relatively weak quasi-nonexpansive mappings
- Convergence of Bregman projection methods for solving consistent convex feasibility problems in reflexive Banach spaces
- Totally convex functions for fixed points computation and infinite dimensional optimization
- Strong convergence theorems for nonexpansive mappings and nonexpansive semigroups.
- Modified hybrid block iterative algorithm for convex feasibility problems and generalized equilibrium problems for uniformly quasi-\(\varphi \)-asymptotically nonexpansive mappings
- Existence of common fixed points using Bregman nonexpansive retracts and Bregman functions in Banach spaces
- Bregman weak relatively nonexpansive mappings in Banach spaces
- Strong convergence theorems for relatively nonexpansive mappings in a Banach space
- Approximating common fixed points of Bregman weakly relatively nonexpansive mappings in Banach spaces
- Strong convergence theorems for a common fixed point of two relatively nonexpansive mappings in a Banach space
- Strong convergence of the CQ method for fixed point iteration processes
- Bregman distances, totally convex functions, and a method for solving operator equations in Banach spaces
- Approximating fixed points of total asymptotically nonexpansive mappings
- Strong convergence theorems for equilibrium problems and weak Bregman relatively nonexpansive mappings in Banach spaces
- Existence and Approximation of Fixed Points of Bregman Firmly Nonexpansive Mappings in Reflexive Banach Spaces
- Products of Finitely Many Resolvents of Maximal Monotone Mappings in Reflexive Banach Spaces
- Iterative Methods for Solving Systems of Variational Inequalities in Reflexive Banach Spaces
- Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach Spaces
- Construction of best Bregman approximations 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