@Article{JNMA-7-1383,
author = {Jude , Ajio TerlumunUgwunnadi , Godwin Chidi and Ali , Bashir},
title = {An Inertial Tseng’s Extragradient Method for Approximating Solution of Split Problems in Banach Spaces},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2025},
volume = {7},
number = {4},
pages = {1383--1415},
abstract = {<p style="text-align: justify;">In this paper, we introduce a new inertial type algorithm with a
self-adaptive step size for approximating a common element of the set of solutions of split common null point and pseudomonotone variational inequality
problem as well as the set of common fixed point of a finite family of quasi nonexpansive mappings in uniformly smooth and 2-uniformly convex real Banach
space. The proposed algorithm is constructed in such a way that its convergence analysis does not require a prior estimate of the operator norm. We also
give numerical examples to illustrate the performance of our algorithm. Our
results generalize and improve many existing results in the literature.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2025.1383},
url = {http://global-sci.org/intro/article_detail/jnma/24242.html}
}