Results 71 to 80 of about 6,730 (164)

Optimality and scalarization of robust approximate solutions for semi-infinite vector equilibrium problems

Journal of Inequalities and Applications
This paper investigates the optimality conditions and scalarization theorems for robust approximate solutions to semi-infinite vector equilibrium problems with data uncertainty in the constraints.
Shan Cai, Xiaoping Li
doaj   +1 more source

Advanced Stability Analysis of Regularized Newton Methods for Monotone Inclusions With Bounded Variation

Journal of Applied Mathematics, Volume 2025, Issue 1, 2025.
This paper presents a comprehensive stability analysis of regularized Newton methods for solving monotone inclusion problems of the form 0 ∈ A(x) + F(x), where A is a maximal monotone operator and F is a Lipschitz continuous operator with bounded variation.
Boushra Abbas, Anwarud Din
wiley   +1 more source

Existence and multiplicity of solutions for the noncoercive Neumann p-Laplacian

Electronic Journal of Differential Equations, 2010
We consider a nonlinear Neumann problem driven by the p-Laplacian differential operator with a nonsmooth potential (hemivariational inequality). Using variational techniques based on the smooth critical point theory and the second deformation theorem,
Nikolaos S. Papageorgiou, Eugenio M. Rocha   +1 more
doaj  

Banach Fixed‐Point Theorem for Fuzzy Nonlinear Neutral Integrodifferential Equations in n‐Dimensional Spaces

Journal of Mathematics, Volume 2025, Issue 1, 2025.
The Banach fixed‐point theorem, along with a fuzzy number characterized by normality, convexity, upper semicontinuity, and a compactly supported interval to look into the possibility of a solution equation to the fuzzy nonlinear neutral integrodifferential equation of the Sobolev‐type within a fuzzy vector space of n dimensions, is employed in this ...
M. Nagarajan, K. Karthik, P. Chandrasekaran, Tamilarasi Mathivanan, Prasantha Bharathi Dhandapani, Taha Radwan, Valerii Obukhovskii   +6 more
wiley   +1 more source

Two Relaxed Inertial Forward–Reflected–Backward Splitting Algorithms With Momentum Terms

Journal of Mathematics, Volume 2025, Issue 1, 2025.
In this paper, to solve the monotone inclusion problem consisting of the sum of two monotone operators in Hilbert spaces, we propose and study two modifications of Malitsky–Tam’s forward–reflection–backward splitting methods with double momentum terms. Meanwhile, we consider a relaxed inertial version to expand the range of allowable step sizes.
Binbin Zhang, Ximeng Guan, Chenhao Yin, Minh N. Dao   +3 more
wiley   +1 more source

Generalized Vector Variational-Like Inequalities

Journal of Mathematical Extension, 2010
In this paper, we consider different types of generalized vector variational-like inequalities and study the relationships between their solutions.
M. Rezaei, H. Gazor
doaj  

Dirichlet μ-Parametric Differential Problem with Multivalued Reaction Term

Mathematics
We study a Dirichlet μ-parametric differential problem driven by a variable competing exponent operator, given by the sum of a negative p-Laplace differential operator and a positive q-Laplace differential operator, with a multivalued reaction term in ...
Mina Ghasemi, Calogero Vetro, Zhenfeng Zhang   +2 more
doaj   +1 more source

Even convexity, subdifferentiability, and Γ-regularization in general topological vector spaces

Journal of Mathematical Analysis and Applications, 2015
MICINN of Spain, Grant MTM2011-29064-C03-02.
Vicente-Pérez, José, Volle, Michel
openaire   +2 more sources

A Relaxed Version of the Cutting Method with Approximation of the Constraint Region

Учёные записки Казанского университета: Серия Физико-математические науки
A cutting method was proposed for solving the convex programming problem. The method assumes that the constraint region of the problem is embedded into some polyhedral sets for constructing iteration points.
I. Ya. Zabotin, O. N. Shulgina, R. S. Yarullin   +2 more
doaj   +1 more source

Attractors for Nonautonomous Multivalued Evolution Systems Generated by Time‐Dependent Subdifferentials

Abstract and Applied Analysis, 2002
In a real separable Hilbert space, we consider nonautonomous evolution equations including time‐dependent subdifferentials and their nonmonotone multivalued perturbations. In this paper, we treat the multivalued dynamical systems associated with time‐dependent subdifferentials, in which the solution is not unique for a given initial state.
openaire   +3 more sources