Results 11 to 20 of about 155 (137)

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

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

Journal of Function Spaces, Volume 2022, Issue 1, 2022., 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. The method is built around two computing phases of a proximal‐like mapping with inertial terms.
Chainarong Khunpanuk, Nuttapol Pakkaranang, Bancha Panyanak, Cristian Chifu   +3 more
wiley   +1 more source

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

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   +2 more sources

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

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

A new existence result for some nonlocal problems involving Orlicz spaces and its applications

Boundary Value Problems, 2022
This paper studies some quasilinear elliptic nonlocal equations involving Orlicz–Sobolev spaces. On the one hand, a new sub-supersolution theorem is proved via the pseudomonotone operator theory; on the other hand, using the obtained theorem, we present ...
Xiaohui Qiu, Baoqiang Yan
doaj   +1 more source

The existence of solutions for the modified $(p(x),q(x))$-Kirchhoff equation

Electronic Journal of Qualitative Theory of Differential Equations, 2022
We consider the Dirichlet problem \begin{equation*} - \Delta^{K_p}_{p(x)} u(x) - \Delta^{K_q}_{q(x)} u(x) = f(x,u(x), \nabla u(x)) \quad \mbox{in }\Omega, \quad u\big{|}_{\partial \Omega}=0, \end{equation*} driven by the sum of a $p(x ...
Giovany Figueiredo, Calogero Vetro
doaj   +1 more source

Strong convergence inertial projection algorithm with self-adaptive step size rule for pseudomonotone variational inequalities in Hilbert spaces

Demonstratio Mathematica, 2021
In this paper, we introduce a new algorithm for solving pseudomonotone variational inequalities with a Lipschitz-type condition in a real Hilbert space.
Wairojjana Nopparat, Pakkaranang Nuttapol, Pholasa Nattawut   +2 more
doaj   +1 more source