A strong convergence theorem for solving pseudo-monotone variational inequalities using projection methods

LO Jolaoso, A Taiwo, TO Alakoya… - Journal of optimization …, 2020 - Springer
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 …

Two strong convergence theorems for Bregman strongly nonexpansive operators in reflexive Banach spaces

S Reich, S Sabach - Nonlinear Analysis: Theory, Methods & Applications, 2010 - Elsevier
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 …

[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 …

Iterative methods for solving systems of variational inequalities in reflexive Banach spaces

G Kassay, S Reich, S Sabach - SIAM Journal on Optimization, 2011 - SIAM
We prove strong convergence theorems for three iterative algorithms which approximate
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 …

Fast and simple Bregman projection methods for solving variational inequalities and related problems in Banach spaces

A Gibali, LO Jolaoso, OT Mewomo, A Taiwo - Results in Mathematics, 2020 - Springer
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 …

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 …

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 …

A modified Halpern algorithm for approximating a common solution of split equality convex minimization problem and fixed point problem in uniformly convex Banach …

A Taiwo, LO Jolaoso, OT Mewomo - Computational and applied …, 2019 - Springer
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 …

Parallel hybrid algorithm for solving pseudomonotone equilibrium and split common fixed point problems

A Taiwo, LO Jolaoso, OT Mewomo - Bulletin of the Malaysian …, 2020 - Springer
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 …