Inertial extrapolation method for solving systems of monotone variational inclusion and fixed point problems using Bregman distance approach

HA Abass, OK Narain… - … Functional Analysis and …, 2023 - nfaa.kyungnam.ac.kr
Numerous problems in science and engineering defined by nonlinear functional equations
can be solved by reducing them to an equivalent fixed point problem. Fixed point theory …

A modified inertial Halpern method for solving split monotone variational inclusion problems in Banach spaces

HA Abass, GC Ugwunnadi, OK Narain - Rendiconti del Circolo …, 2023 - Springer
In this paper, we propose and study a modified inertial Halpern method for finding a
common element of the set of solutions of split monotone variational inclusion problems …

Strong convergence of a generalized forward–backward splitting method in reflexive Banach spaces

T Minh Tuyen, R Promkam, P Sunthrayuth - Optimization, 2022 - Taylor & Francis
In this paper, we study the so-called generalized monotone quasi-inclusion problem which
is a generalization and extension of well-known monotone quasi-inclusion problem. We …

Convergence of two simple methods for solving monotone inclusion problems in reflexive Banach spaces

C Izuchukwu, S Reich, Y Shehu - Results in Mathematics, 2022 - Springer
We propose two very simple methods, the first one with constant step sizes and the second
one with self-adaptive step sizes, for finding a zero of the sum of two monotone operators in …

Shrinking approximation method for solution of split monotone variational inclusion and fixed point problems in Banach spaces

F Akutsah, NO Kumar, AH Anuoluwapo… - … Journal of Nonlinear …, 2021 - ijnaa.semnan.ac.ir
In this paper, we investigate a shrinking algorithm for finding a solution of split monotone
variational inclusion problem which is also a common fixed point problem of relatively …

Strong convergence theorem for split feasibility problems and variational inclusion problems in real Banach spaces

CC Okeke, C Izuchukwu - Rendiconti del Circolo Matematico di Palermo …, 2021 - Springer
The purpose of this paper is to study and analyze an iterative method for split feasibility
problem and variational inclusion problem (also known as the problem of finding a zero of …

On split generalized equilibrium and fixed point problems with multiple output sets in real Banach spaces

HA Abass, OK Oyewole, OK Narain, LO Jolaoso… - Computational and …, 2022 - Springer
In this paper, we propose and study a modified inertial Halpern method for finding a
common element of the set of solution of split generalized equilibrium problem which is also …

A strong convergence theorem for a finite family of Bregman demimetric map**s in a Banach space under a new shrinking projection method

B Orouji, E Soori, D O'Regan… - Journal of Function …, 2021 - Wiley Online Library
In this paper, using a new shrinking projection method and new generalized k‐demimetric
map**s, we consider the strong convergence for finding a common point of the sets of …

Self-adaptive Forward–Backward Contraction-type Methods for Generalized Split Feasibility Problems

C Izuchukwu, LO Jolaoso, MO Nnakwe… - … Journal of Mathematics, 2022 - Springer
Based on the recent important results of Takahashi–Xu–Yao [Set-Valued and Variational
Analysis 23 (2015), 205–221] and other related results on split feasibility problems, we study …

[PDF][PDF] On split common fixed point and monotone inclusion problems in reflexive Banach spaces

HA Abass, AA Mebawondu, C Izuchukwu… - Fixed Point …, 2022 - researchgate.net
In this paper, we study split common fixed point problems of Bregman demigeneralized and
Bregman quasi-nonexpansive map**s in reflexive Banach spaces. Using the Bregman …