Results 11 to 20 of about 514,187 (157)
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
doaj +4 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
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
Monotone and pseudomonotone operators with applications to variational problems [PDF]
, 2015 This work is primarily concerned with investigating how monotone and pseudomonotone operators between Banach spaces are used to prove the existence of solutions to nonlinear elliptic boundary value problems. A well-known approach to solving nonlinear elliptic boundary value problems is to reformulate them as equations of the form A (u) = f, where A is ...
Alexander, Byron Joseph
core +3 more sources
Pseudomonotone Diagonal Subdifferential Operators
Journal of Convex Analysis, 2013 Let f f be an equilibrium bifunction defined on the product space
CASTELLANI, MARCO, GIULI, MASSIMILIANO
openaire +4 more sources
Fractional elliptic obstacle systems with multivalued terms and nonlocal operators [PDF]
Nonlinear AnalysisIn this paper, we introduce and study a fractional elliptic obstacle system, which is composed of two elliptic inclusions with fractional (pi, qi)-Laplace operators, nonlocal functions, and multivalued terms.
Jinxia Cen +2 more
doaj +2 more sources
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
openaire +2 more sources
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
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
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
wiley +1 more source