Results 31 to 40 of about 142 (136)

Qualitative analysis for the nonlinear fractional Hartree type system with nonlocal interaction

open access: yesAdvances in Nonlinear Analysis, 2021
In the present paperwe study the existence of nontrivial solutions of a class of static coupled nonlinear fractional Hartree type system. First, we use the direct moving plane methods to establish the maximum principle(Decay at infinity and Narrow region
Wang Jun
doaj   +1 more source

Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 4, Page 199-207, 2003., 2003
The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented.
Zeqing Liu   +2 more
wiley   +1 more source

Forward‐backward resolvent splitting methods for general mixed variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 43, Page 2759-2770, 2003., 2003
We use the technique of updating the solution to suggest and analyze a class of new splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Our methods differ from the known three‐step forward‐backward splitting of
Muhammad Aslam Noor   +2 more
wiley   +1 more source

Convergence theorems for monotone vector field inclusions and minimization problems in Hadamard spaces

open access: yesAnalysis and Geometry in Metric Spaces, 2023
This article analyses two schemes: Mann-type and viscosity-type proximal point algorithms. Using these schemes, we establish Δ-convergence and strong convergence theorems for finding a common solution of monotone vector field inclusion problems, a ...
Salisu Sani   +2 more
doaj   +1 more source

Iterative resolvent methods for general mixed variational inequalities

open access: yesInternational Journal of Stochastic Analysis, Volume 16, Issue 3, Page 283-294, 2003., 2003
In this paper, we use the technique of updating the solution to suggest and analyze a class of new self‐adaptive splitting methods for solving general mixed variational inequalities. It is shown that these modified methods converge for pseudomonotone operators, which is a weaker condition than monotonicity. Proof of convergence is very simple.
Muhammad Aslam Noor, Khalida Inayat Noor
wiley   +1 more source

Completely generalized multivalued nonlinear quasi‐variational inclusions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 30, Issue 10, Page 593-604, 2002., 2002
We introduce and study a new class of completely generalized multivalued nonlinear quasi‐variational inclusions. Using the resolvent operator technique for maximal monotone mappings, we suggest two kinds of iterative algorithms for solving the completely generalized multivalued nonlinear quasi‐variational inclusions.
Zeqing Liu   +3 more
wiley   +1 more source

Vectorial exceptional families of elements

open access: yes, 2010
Vector complementarity problems, Exceptional families of elements, Hemicontinuity, Pseudomonotone multivalued mappings, 49J40, 90C33,
Y. Chiang
core   +1 more source

On variational nonlinear equations with monotone operators

open access: yesAdvances in Nonlinear Analysis, 2020
Using monotonicity methods and some variational argument we consider nonlinear problems which involve monotone potential mappings satisfying condition (S) and their strongly continuous perturbations.
Galewski Marek
doaj   +1 more source

Variational inequality for a vector field on Hadamard spaces

open access: yesAnalele 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

Existence for viscoplastic contact with Coulomb friction problems

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 32, Issue 7, Page 411-437, 2002., 2002
We present existence results in the study of nonlinear problem of frictional contact between an elastic‐viscoplastic body and a rigid obstacle. We model the frictional contact both by a Tresca′s friction law and a regularized Coulomb′s law. We assume, in a first part, that the contact is bilateral and that no separation takes place.
Amina Amassad, Caroline Fabre
wiley   +1 more source

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