Results 31 to 40 of about 4,524,029 (359)

On Random Variational Inequalities

open access: yesJournal of Mathematical Analysis and Applications, 1997
Let \((H,(.,.))\) be a real separable Hilbert space with the Borel \(\sigma\)-algebra \({\mathcal B}(H).\) Let \((\Omega,{\mathcal X})\) be a measurable space. A mapping \(T:\;\Omega\times H\to H\) is called a random operator, if for any given \(x\in H,\;T(t,x)=y(t)\) is measurable.
Ganguly, Ashok, Wadhwa, Kamal
openaire   +1 more source

Algorithms and Inertial Algorithms for Inverse Mixed Variational Inequality Problems in Hilbert Spaces

open access: yesMathematics
The inverse mixed variational inequality problem comes from classical variational inequality, and it has many applications. In this paper, we propose new algorithms to study the inverse mixed variational inequality problems in Hilbert spaces, and these ...
Chih-Sheng Chuang
doaj   +1 more source

Perturbation and Variational Methods in Nonextensive Tsallis Statistics

open access: yes, 1998
A unified presentation of the perturbation and variational methods for the generalized statistical mechanics based on Tsallis entropy is given here. In the case of the variational method, the Bogoliubov inequality is generalized in a very natural way ...
A. K. Rajagopal   +40 more
core   +1 more source

A Coevolutionary Particle Swarm Algorithm for Bi-Level Variational Inequalities: Applications to Competition in Highway Transportation Networks [PDF]

open access: yes, 2009
A climate of increasing deregulation in traditional highway transportation, where the private sector has an expanded role in the provision of traditional transportation services, provides a background for practical policy issues to be investigated ...
Chiong, Raymond, Dhakal, Sandeep
core   +1 more source

A variation-of-parameters inequality [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
Recent work in stability theory for linear ordinary differential equations has made much use of the inequalities which can be deduced from the variation-of-parameters formula. In this article it is shown that similar inequalities hold for nonlinear Stieltjes integral equations and hence, as a special case, for nonlinear differential equations in which ...
openaire   +1 more source

On the stability of projected dynamical system for generalized variational inequality with hesitant fuzzy relation

open access: yesAIMS Mathematics, 2020
In this paper, we investigate the projected dynamical system associated with the generalized variational inequality with hesitant fuzzy relation. We establish the equivalence between the generalized variational inequality with hesitant fuzzy relation and
Ting Xie, Dapeng Li
doaj   +1 more source

The Forward-Backward-Forward Method from continuous and discrete perspective for pseudo-monotone variational inequalities in Hilbert spaces

open access: yes, 2020
Tseng's forward-backward-forward algorithm is a valuable alternative for Korpelevich's extragradient method when solving variational inequalities over a convex and closed set governed by monotone and Lipschitz continuous operators, as it requires in ...
Bot, Radu Ioan   +2 more
core   +1 more source

Numerical Schemes for Multivalued Backward Stochastic Differential Systems [PDF]

open access: yes, 2011
We define some approximation schemes for different kinds of generalized backward stochastic differential systems, considered in the Markovian framework. We propose a mixed approximation scheme for a decoupled system of forward reflected SDE and backward ...
A. Rascanu   +23 more
core   +1 more source

Tykhonov well-posedness of split problems

open access: yesJournal of Inequalities and Applications, 2020
In (J. Optim. Theory Appl. 183:139–157, 2019) we introduced and studied the concept of well-posedness in the sense of Tykhonov for abstract problems formulated on metric spaces. Our aim of this current paper is to extend the results in (J. Optim.
Qiao-yuan Shu   +2 more
doaj   +1 more source

A Note on Doubly Nonlinear Parabolic Systems with Unilateral Constraint

open access: yes, 2011
We prove the existence and uniqueness of the solution to the doubly nonlinear parabolic systems with mixed boundary conditions. Due to the unilateral constraint the problem comes as a variational inequality.
Beneš, Michal
core   +1 more source

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