Results 11 to 20 of about 150 (124)
Variational inequalities governed by strongly pseudomonotone operators [PDF]
Optimization, 2021 Qualitative and quantitative aspects for variational inequalities governed by strongly pseudomonotone operators on Hilbert space are investigated in this paper. First, we establish a global error bound for the solution set of the given problem with the residual function being the normal map.
Pham Tien Kha, Pham Duy Khanh
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Axioms, 2021 In this paper, we survey the split problem of fixed points of two pseudocontractive operators and variational inequalities of two pseudomonotone operators in Hilbert spaces.
Li-Jun Zhu, Yeong-Cheng Liou
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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 +7 more
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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
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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 +2 more
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Journal of Inequalities and Applications, 2023 In this paper, we introduce a simple and easily computable algorithm for finding a common solution to split-equilibrium problems and fixed-point problems in the framework of real Hilbert spaces.
Francis O. Nwawuru, Jeremiah N. Ezeora
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Solvability of Conformable Type Frictionless Contact Problem via Hemivariational Inequalities
Axioms, 2022 In this paper, we study a class of conformable frictionless contact problems with the surface traction driven by the conformable impulsive differential equation.
Jianwei Hao, Jinrong Wang, Jiangfeng Han
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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 +3 more
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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 +4 more
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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 +5 more
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