Results 11 to 20 of about 474,284 (161)

Inertial Iterative Schemes With Variable Step Sizes for Variational Inequality Problem Involving Pseudomonotone Operator

Mathematics, 2020
Two inertial subgradient extragradient algorithms for solving variational inequality problems involving pseudomonotone operator are proposed in this article.
Abdulkarim Hassan Ibrahim, Jamilu Abubakar, Poom Kumam   +2 more
exaly   +4 more sources

Hybrid Alternated Inertial Projection and Contraction Algorithm for Solving Bilevel Variational Inequality Problems

Journal of Mathematics, 2023
This paper considers an alternated inertial-type extrapolation algorithm for solving bilevel pseudomonotone variational inequality problem in the framework of real Hilbert spaces with split variational inequality and fixed-point constraints of demimetric
Jacob Ashiwere Abuchu, Austine Efut Ofem, Godwin Chidi Ugwunnadi, Ojen Kumar Narain, Azhar Hussain   +4 more
doaj   +2 more sources

A Sub-Supersolution Method for p-Laplacian Equation with Non-Local Term

Journal of Mathematics, 2022
This paper is concerned with the existence of solutions for p-Laplace problems with non-local term. We prove the sub-supersolution theorem using the pseudomonotone operator theorem and Minty–Browder theorem with appropriate assumptions on M,gii=1,2. Then,
Mei Rong, Qing Miao
doaj   +2 more sources

Upper Semicontinuity of Solution Maps for a Parametric Weak Vector Variational Inequality [PDF]

Journal of Inequalities and Applications, 2010
This paper investigates the upper semicontinuity of the solution map for a parametric weak vector variational inequality associated to a v-hemicontinuous and weakly C-pseudomonotone operator.
Z. M. Fang, S. J. Li
doaj   +3 more sources

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.
Ashok Ganguly
openaire   +4 more sources

Nonlocal elliptic hemivariational inequalities [PDF]

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   +3 more sources

A range and existence theorem for pseudomonotone perturbations of maximal monotone operators [PDF]

Proceedings of the American Mathematical Society, 2010
In this paper, we prove a range and existence theorem for multivalued pseudomonotone perturbations of maximal monotone operators. We assume a general coercivity condition on the sum of a maximal monotone and a pseudomonotone operator instead of a condition on the pseudomonotone operator only.
Vy Khoi Le, Le, Vy Khoi
openaire   +3 more sources

Improved inertial projection and contraction method for solving pseudomonotone variational inequality problems

Journal of Inequalities and Applications, 2021
The objective of this article is to solve pseudomonotone variational inequality problems in a real Hilbert space. We introduce an inertial algorithm with a new self-adaptive step size rule, which is based on the projection and contraction method.
Ming Tian, Gang Xu
doaj   +2 more sources

Pseudomonotone operators and the Bregman Proximal Point Algorithm

Journal of Global Optimization, 2009
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Nils Langenberg
openaire   +4 more sources

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   +2 more sources