A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods
Several iterative methods have been proposed in the literature for solving the variational
inequalities in Hilbert or Banach spaces, where the underlying operator A is monotone and …
inequalities in Hilbert or Banach spaces, where the underlying operator A is monotone and …
Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces
We study the convergence of two iterative algorithms for finding common fixed points of
finitely many Bregman strongly nonexpansive operators in reflexive Banach spaces. Both …
finitely many Bregman strongly nonexpansive operators in reflexive Banach spaces. Both …
[PDF][PDF] A monotone Bregan projection algorithm for fixed point and equilibrium problems in a reflexive Banach space
SY Cho - Filomat, 2020 - doiserbia.nb.rs
In this paper, a monotone Bregan projection algorithm is investigated for solving equilibrium
problems and common fixed point problems of a family of closed multi-valued Bregman …
problems and common fixed point problems of a family of closed multi-valued Bregman …
Iterative methods for solving systems of variational inequalities in reflexive Banach spaces
We prove strong convergence theorems for three iterative algorithms which approximate
solutions to systems of variational inequalities for mappings of monotone type. All the …
solutions to systems of variational inequalities for mappings of monotone type. All the …
Re-examination of Bregman functions and new properties of their divergences
D Reem, S Reich, A De Pierro - Optimization, 2019 - Taylor & Francis
ABSTRACT The Bregman divergence (Bregman distance, Bregman measure of distance) is
a certain useful substitute for a distance, obtained from a well-chosen function (the 'Bregman …
a certain useful substitute for a distance, obtained from a well-chosen function (the 'Bregman …
Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces
In this paper, we study the problem of finding a common solution to variational inequality
and fixed point problems for a countable family of Bregman weak relatively nonexpansive …
and fixed point problems for a countable family of Bregman weak relatively nonexpansive …
Bregman weak relatively nonexpansive mappings in Banach spaces
E Naraghirad, JC Yao - Fixed Point Theory and Applications, 2013 - Springer
In this paper, we introduce a new class of mappings called Bregman weak relatively
nonexpansive mappings and propose new hybrid iterative algorithms for finding common …
nonexpansive mappings and propose new hybrid iterative algorithms for finding common …
S-Iteration inertial subgradient extragradient method for variational inequality and fixed point problems
TO Alakoya, OT Mewomo - Optimization, 2024 - Taylor & Francis
In developing iterative methods for approximating solutions of optimization problems, one of
the major goals of researchers is to construct efficient iterative schemes. Over the years …
the major goals of researchers is to construct efficient iterative schemes. Over the years …
A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach …
In this paper, we introduce a modified Halpern algorithm for approximating a common
solution of split equality convex minimization problem and split-equality fixed-point problem …
solution of split equality convex minimization problem and split-equality fixed-point problem …
Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems
Using the concept of Bregman W-mapping, we propose a parallel hybrid extragradient
algorithm for approximating a common element of the set of solutions of pseudomonotone …
algorithm for approximating a common element of the set of solutions of pseudomonotone …