Results 21 to 30 of about 155 (137)

A Self‐Adaptive Technique for Solving Variational Inequalities: A New Approach to the Problem

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
Variational inequalities are considered the most significant field in applied mathematics and optimization because of their massive and vast applications. The current study proposed a novel iterative scheme developed through a fixed‐point scheme and formulation for solving variational inequalities.
Muhammad Bux, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Rale M. Nikoli   +4 more
wiley   +1 more source

A Forward‐Backward‐Forward Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we continue to investigate the convergence analysis of Tseng‐type forward‐backward‐forward algorithms for solving quasimonotone variational inequalities in Hilbert spaces. We use a self‐adaptive technique to update the step sizes without prior knowledge of the Lipschitz constant of quasimonotone operators.
Tzu-Chien Yin, Nawab Hussain, Calogero Vetro   +2 more
wiley   +1 more source

Novel Algorithms for Solving a System of Absolute Value Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
The goal of this paper is to study a new system of a class of variational inequalities termed as absolute value variational inequalities. Absolute value variational inequalities present a rational, pragmatic, and novel framework for investigating a wide range of equilibrium problems that arise in a variety of disciplines.
Safeera Batool, Muhammad Aslam Noor, Riaz Ahmad, Ilyas Khan, Mulugeta Andualem, Andrea Scapellato   +5 more
wiley   +1 more source

An Iterative Algorithm for Solving Fixed Point Problems and Quasimonotone Variational Inequalities

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we survey a common problem of the fixed point problem and the quasimonotone variational inequality problem in Hilbert spaces. We suggest an iterative algorithm for finding a common element of the solution of a quasimonotone variational inequality and the fixed point of a pseudocontractive operator.
Tzu-Chien Yin, Yan-Kuen Wu, Ching-Feng Wen, Ljubisa Kocinac   +3 more
wiley   +1 more source

A Self‐Adaptive Extragradient Algorithm for Solving Quasimonotone Variational Inequalities

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
This article aims to research iterative schemes for searching a solution of a quasimonotone variational inequality in a Hilbert space. For solving this quasimonotone variational inequality, we propose an iterative procedure which combines a self‐adaptive rule and the extragradient algorithm.
Li-Jun Zhu, Tzu-Chien Yin, Hüseyin Işık   +2 more
wiley   +1 more source

Nonlocal elliptic hemivariational inequalities

Electronic Journal of Qualitative Theory of Differential Equations, 2017
This paper is devoted to the existence of solutions for the hemivariational inequalities involving fractional Laplace operator by means of the well-known surjectivity result for pseudomonotone mappings.
Zhenhai Liu, Jinggang Tan
doaj   +1 more source

Two Nonmonotonic Self-Adaptive Strongly Convergent Projection-Type Methods for Solving Pseudomonotone Variational Inequalities

Journal of Function Spaces, 2021
The primary objective of this study is to introduce two novel extragradient-type iterative schemes for solving variational inequality problems in a real Hilbert space.
Chainarong Khunpanuk, Bancha Panyanak, Nuttapol Pakkaranang   +2 more
doaj   +1 more source

A Note on the Generalized Nonlinear Vector Variational‐Like Inequality Problem

Journal of Function Spaces, Volume 2021, Issue 1, 2021., 2021
In this paper, we discuss two variants of the generalized nonlinear vector variational‐like inequality problem. We provide their solutions by adopting topological approach. Topological properties such as compactness, closedness, and net theory are used in the proof.
Ankit Gupta, Satish Kumar, Ratna Dev Sarma, Pankaj Kumar Garg, Reny George, Yuanfang Ru   +5 more
wiley   +1 more source

A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems

Open Mathematics, 2023
In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan, Alakoya Timilehin Opeyemi, Mewomo Oluwatosin Temitope   +2 more
doaj   +1 more source

Variational‐like inequalities for pseudomonotone operators [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
The aim of this note is to use a fixed point theorem to prove results for variational‐like inequalities for pseudomonotone operators.
openaire   +3 more sources