Variational inequality for a vector field on Hadamard spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2023 Our purpose is to study the variational inequality problem for a vector field on Hadamard spaces. The existence and uniqueness of the solutions to the variational inequality problem associated with a vector field in Hadamard spaces are studied.
Ranjbar Sajad
doaj +1 more source
A Halpern-type algorithm for a common solution of nonlinear problems in Banach spaces
Topological Algebra and its Applications, 2023 In this article, we propose a Halpern-type subgradient extragradient algorithm for solving a common element of the set of solutions of variational inequality problems for continuous monotone mappings and the set of f-fixed points of continuous f ...
Zegeye Habtu, Boikanyo Oganeditse A.
doaj +1 more source
Well-posedness for bilevel vector equilibrium problems with variable domination structures
Open Mathematics, 2023 In this article, well-posedness for two types of bilevel vector equilibrium problems with variable domination structures are introduced and studied. With the help of cosmically upper continuity or Hausdorff upper semi-continuity for variable domination ...
Xu Yu-ping +3 more
doaj +1 more source
Open Mathematics, 2022 In a real Banach space, let the VI indicate a variational inclusion for two accretive operators and let the CFPP denote a common fixed point problem of countably many nonexpansive mappings.
Ceng Lu-Chuan, Zhu Li-Jun, Yin Tzu-Chien
doaj +1 more source
Existence of nontrivial solutions for critical Kirchhoff-Poisson systems in the Heisenberg group
Advanced Nonlinear Studies, 2022 This article is devoted to the study of the combined effects of logarithmic and critical nonlinearities for the Kirchhoff-Poisson system −M∫Ω∣∇Hu∣2dξΔHu+μϕu=λ∣u∣q−2uln∣u∣2+∣u∣2uinΩ,−ΔHϕ=u2inΩ,u=ϕ=0on∂Ω,\left\{\begin{array}{ll}-M\left(\mathop ...
Pucci Patrizia, Ye Yiwei
doaj +1 more source
Convergence Results for Elliptic Variational-Hemivariational Inequalities
Advances in Nonlinear Analysis, 2020 We consider an elliptic variational-hemivariational inequality 𝓟 in a reflexive Banach space, governed by a set of constraints K, a nonlinear operator A, and an element f.
Cai Dong-ling +2 more
doaj +1 more source
Convergence Theorems for Hierarchical Fixed Point Problems and Variational Inequalities [PDF]
, 2014 This paper deals with a modifed iterative projection method for approximating a solution of hierarchical fixed point problems for nearly nonexpansive mappings.
Karahan, Ibrahim, Ozdemir, Murat
core +3 more sources
On the longtime behavior of a viscous Cahn-Hilliard system with convection and dynamic boundary conditions [PDF]
, 2018 In this paper, we study the longtime asymptotic behavior of a phase separation process occurring in a three-dimensional domain containing a fluid flow of given velocity. This process is modeled by a viscous convective Cahn-Hilliard system, which consists
Colli, Pierluigi +2 more
core +3 more sources
Finite time extinction for nonlinear fractional evolution equations and related properties. [PDF]
, 2016 The finite time extinction phenomenon (the solution reaches an equilibrium after a finite time) is peculiar to certain nonlinear problems whose solutions exhibit an asymptotic behavior entirely different from the typical behavior of solutions associated ...
Díaz Díaz, Jesús Ildefonso +2 more
core +10 more sources
A primal-dual approach of weak vector equilibrium problems
Open Mathematics, 2018 In this paper we provide some new sufficient conditions that ensure the existence of the solution of a weak vector equilibrium problem in Hausdorff topological vector spaces ordered by a cone.
László Szilárd
doaj +1 more source