Single-Valued Demicontractive Mappings: Half a Century of Developments and Future Prospects

V Berinde - Symmetry, 2023 - mdpi.com
Demicontractive operators form an important class of nonexpansive type mappings whose
study led researchers to the creation of some beautiful results in the framework of metric …

Iterative methods for solving variational inequalities in Euclidean space

A Gibali, S Reich, R Zalas - Journal of Fixed Point Theory and Applications, 2015 - Springer
In this paper, we investigate the convergence properties of an iterative method for solving
variational inequalities in Euclidean space. We show that under certain assumptions the …

An algorithm for solving the variational inequality problem over the fixed point set of a quasi-nonexpansive operator in Euclidean space

A Cegielski, A Gibali, S Reich… - … Functional Analysis and …, 2013 - Taylor & Francis
This article is concerned with the variational inequality problem VIP (ℱ, Fix (T)): find such
that for all z∈ Fix (T), where T: ℝ n→ ℝ n is quasi-nonexpansive, Fix (T) is its nonempty fixed …

On a useful lemma that relates quasi-nonexpansive and demicontractive mappings in Hilbert spaces

V Berinde - arXiv preprint arXiv:2404.05753, 2024 - arxiv.org
We give a brief account on a basic result (Lemma\ref {lem2}) which is a very useful tool in
proving various convergence theorems in the framework of the iterative approximation of …

[PDF][PDF] Повышение эффективности итерационных методов решения нелинейных уравнений и их применение для задач математического моделирования …

ИФ Юманова - 2017 - elar.urfu.ru
Актуальность темы и степень ее разработанности. При решении многих прикладных
задач на разных этапах появляется необходимость поиска корней нелинейных …

[图书][B] Algorithms for Solving Monotone Variational Inequalities and Applications

A Gibali - 2012 - researchgate.net
In this thesis we study iterative algorithms for solving the Variational Inequality Problem (VIP)
in an infinite dimensional Hilbert space. Several results are also presented in Euclidean …