Results 51 to 60 of about 126 (118)

On split feasibility problem for finite families of equilibrium and fixed point problems in Banach spaces

open access: yesDemonstratio Mathematica, 2022
In this article, motivated by the works of Ali Akbar and Elahe Shahrosvand [Split equality common null point problem for Bregman quasi-nonexpansive mappings, Filomat 32 (2018), no. 11, 3917–3932], Eskandani et al.
Abass Hammed A.   +4 more
doaj   +1 more source

Fractional elliptic obstacle systems with multivalued terms and nonlocal operators

open access: yesNonlinear Analysis
In 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   +1 more source

Nonhomogeneous Dirichlet Problems with Unbounded Coefficient in the Principal Part

open access: yesAxioms, 2022
The main result of the paper establishes the existence of a bounded weak solution for a nonlinear Dirichlet problem exhibiting full dependence on the solution u and its gradient ∇u in the reaction term, which is driven by a p-Laplacian-type operator with
Dumitru Motreanu
doaj   +1 more source

The classes and the main properties of the multi-valued Wλ0-pseudomonotone maps

open access: yesSistemnì Doslìdženâ ta Informacìjnì Tehnologìï, 2018
We consider the main classes of Wλ0-pseudomonotone multi-valued maps. The main properties of these operators have been investigated. The new classes of these operators have been obtained.
P. O. Kasyanov   +2 more
doaj  

A self-adaptive inertial extragradient method for a class of split pseudomonotone variational inequality problems

open access: yesOpen Mathematics, 2023
In this article, we study a class of pseudomonotone split variational inequality problems (VIPs) with non-Lipschitz operator. We propose a new inertial extragradient method with self-adaptive step sizes for finding the solution to the aforementioned ...
Owolabi Abd-Semii Oluwatosin-Enitan   +2 more
doaj   +1 more source

On Iterative Regularization Methods for Variational Inequalities of the Second Kind with Pseudomonotone Operators [PDF]

open access: yesComputational Methods in Applied Mathematics, 2003
Abstract Variational inequalitiy of the second kind in the Banach or Hilbert space is considered. A ”semi-implicit” iterative method for its solution is studied.
Badriev, I. B.   +2 more
openaire   +2 more sources

Iterative Algorithms for Pseudomonotone Variational Inequalities and Fixed Point Problems of Pseudocontractive Operators [PDF]

open access: yesMathematics, 2019
In this paper, we are interested in the pseudomonotone variational inequalities and fixed point problem of pseudocontractive operators in Hilbert spaces. An iterative algorithm has been constructed for finding a common solution of the pseudomonotone variational inequalities and fixed point of pseudocontractive operators.
Yonghong Yao   +2 more
openaire   +1 more source

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

open access: yesAbstract and Applied Analysis, 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S:X⊇D(S)→X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive ...
Teffera M. Asfaw
doaj   +1 more source

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

open access: yesAbstract and Applied Analysis, 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators.
Teffera M. Asfaw
doaj   +1 more source

Boundedness, existence and uniqueness results for coupled gradient dependent elliptic systems with nonlinear boundary condition

open access: yesAdvances in Nonlinear Analysis
In this paper, we study coupled elliptic systems with gradient dependent right-hand sides and nonlinear boundary conditions, where the left-hand sides are driven by so-called double phase operators.
Frisch Michal Maria, Winkert Patrick
doaj   +1 more source

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