Results 11 to 20 of about 1,262,506 (179)

Convergence Analysis of New Construction Explicit Methods for Solving Equilibrium Programming and Fixed Point Problems

Journal of Function Spaces, 2022
In this paper, we present improved iterative methods for evaluating the numerical solution of an equilibrium problem in a Hilbert space with a pseudomonotone and a Lipschitz-type bifunction.
Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak   +2 more
doaj   +2 more sources

Mann Hybrid Deepest‐Descent Extragradient Method with Line‐Search Process for Hierarchical Variational Inequalities for Countable Nonexpansive Mappings

Journal of Mathematics, Volume 2023, Issue 1, 2023., 2023
In real Hilbert spaces, let the CFPP indicate a common fixed‐point problem of asymptotically nonexpansive operator and countably many nonexpansive operators, and suppose that the HVI and VIP represent a hierarchical variational inequality and a variational inequality problem, respectively.
Yun-Ling Cui, Lu-Chuan Ceng, Fang-Fei Zhang, Liang He, Jie Yin, Cong-Shan Wang, Hui-Ying Hu, Rehan Ali   +7 more
wiley   +1 more source

Existence of Solutions for Inclusion Problems in Musielak‐Orlicz‐Sobolev Space Setting

Journal of Function Spaces, Volume 2023, Issue 1, 2023., 2023
In this paper, we mainly prove the existence of (weak) solutions of an inclusion problem with the Dirichlet boundary condition of the following form: L ∈ A(x, u, Du) + F(x, u, Du), in Ω, and u = 0, on ∂Ω, in Musielak‐Orlicz‐Sobolev spaces W01LΦΩ by using the surjective theorem, where Ω ⊂ ℝN is a bounded Lipschitz domain, L belongs to the dual space ...
Ge Dong, Xiaochun Fang, Serena Matucci
wiley   +1 more source

Existence and Uniqueness of Renormalized Solution to Nonlinear Anisotropic Elliptic Problems with Variable Exponent and L1‐Data

International Journal of Differential Equations, Volume 2023, Issue 1, 2023., 2023
Nonlinear partial differential equations are considered as an essential tool for describing the behavior of many natural phenomena. The modeling of some phenomena requires to work in Sobolev spaces with constant exponent. But for others, such as electrorheological fluids, the properties of classical spaces are not sufficient to have precision.
Ibrahime Konaté, Arouna Ouédraogo, Davood D. Ganji   +2 more
wiley   +1 more source

A New Projection Algorithm for Generalized Variational Inequality

Journal of Inequalities and Applications, 2010
We propose a new projection algorithm for generalized variational inequality with multivalued mapping. Our method is proven to be globally convergent to a solution of the variational inequality problem, provided that the multivalued mapping is continuous
Changjie Fang, Yiran He
doaj   +2 more sources

A new class of computationally efficient algorithms for solving fixed-point problems and variational inequalities in real Hilbert spaces

Journal of Inequalities and Applications, 2023
A family of inertial extragradient-type algorithms is proposed for solving convex pseudomonotone variational inequality with fixed-point problems, where the involved mapping for the fixed point is a ρ-demicontractive mapping.
Wiyada Kumam, Habib ur Rehman, Poom Kumam   +2 more
doaj   +1 more source

On Mann-type accelerated projection methods for pseudomonotone variational inequalities and common fixed points in Banach spaces

AIMS Mathematics, 2023
In this paper, we investigate two Mann-type accelerated projection procedures with line search method for solving the pseudomonotone variational inequality (VIP) and the common fixed-point problem (CFPP) of finitely many Bregman relatively nonexpansive ...
L. Ceng, Y. Liou, Tzu-Chien Yin
semanticscholar   +1 more source

Existence of Two Solutions for a Critical Elliptic Problem with Nonlocal Term in ℝ4

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
In this paper, we prove the existence of two positive solutions for a critical elliptic problem with nonlocal term and Sobolev exponent in dimension four.
Khadidja Sabri, Atika Matallah, Safia Benmansour, Mohammed El Mokhtar Ould El Mokhtar, Pasquale Vetro   +4 more
wiley   +1 more source

Two New Weak Convergence Algorithms for Solving Bilevel Pseudomonotone Equilibrium Problem in Hilbert Space

Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022
In this paper, we introduce two new subgradient extragradient algorithms to find the solution of a bilevel equilibrium problem in which the pseudomonotone and Lipschitz‐type continuous bifunctions are involved in a real Hilbert space. The first method needs the prior knowledge of the Lipschitz constants of the bifunctions while the second method uses a
Gaobo Li, Sun Young Cho
wiley   +1 more source

Self‐Adaptive Predictor‐Corrector Approach for General Variational Inequalities Using a Fixed‐Point Formulation

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 2022
A literature review revealed that the general variational inequalities, fixed‐point problems, and Winner–Hopf equations are equivalent. In this study, general variational inequality and fixed‐point problem are considered. We introduced a new iterative method based on a self‐adaptive predictor‐corrector approach for finding a solution to the GVI ...
Kubra Sanaullah, Saleem Ullah, Muhammad Shoaib Arif, Kamaleldin Abodayeh, Rabia Fayyaz, Nawab Hussain   +5 more
wiley   +1 more source