Results 31 to 40 of about 833 (125)

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

Variational Inequality Approach to Stochastic Nash Equilibrium Problems with an Application to Cournot Oligopoly [PDF]

open access: yes, 2014
In this note we investigate stochastic Nash equilibrium problems by means of monotone variational inequalities in probabilistic Lebesgue spaces. We apply our approach to a class of oligopolistic market equilibrium problems where the data are known ...
Jadamba, Baasansuren, Raciti, Fabio
core   +1 more source

Some Results on Normalized Duality Mappings and Approximating Fixed Points in Convex Real Modular Spaces

open access: yesمجلة بغداد للعلوم, 2021
In this paper, the concept of normalized duality mapping has introduced in real convex modular spaces. Then, some of its properties have shown which allow dealing with results related to the concept of uniformly smooth convex real modular spaces.
Salwa Salman Abed   +1 more
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

Principal eigenvalue characterization connected with stochastic particle motion in a finite interval

open access: yesInternational Journal of Stochastic Analysis, Volume 15, Issue 4, Page 349-356, 2002., 2002
In this paper, we show that despite their distinction, both the Statonovich and Îto s calculi lead to the same reactive Fokker‐Planck equation: ∂p∂t−∂∂x[D∂p∂x−bp]=λmp, (1) describing stochastic dynamics of a particle moving under the influence of an indefinite potential m(x, t), a drift b(x, t), and a constant diffusion D.
Fethi Bin Muhammad Belgacem   +1 more
wiley   +1 more source

Mixed variational inequalities and economic equilibrium problems

open access: yesJournal of Applied Mathematics, Volume 2, Issue 6, Page 289-314, 2002., 2002
We consider rather broad classes of general economic equilibrium problems and oligopolistic equilibrium problems which can be formulated as mixed variational inequality problems. Such problems involve a continuous mapping and a convex, but not necessarily differentiable function. We present existence and uniqueness results of solutions under weakened P‐
I. V. Konnov, E. O. Volotskaya
wiley   +1 more source

Strong convergence for the modified Mann's iteration of $\lambda$-strict pseudocontraction

open access: yes, 2014
In this paper, for an $\lambda$-strict pseudocontraction $T$, we prove strong convergence of the modified Mann's iteration defined by $$x_{n+1}=\beta_{n}u+\gamma_nx_n+(1-\beta_{n}-\gamma_n)[\alpha_{n}Tx_n+(1-\alpha_{n})x_n],$$ where $\{\alpha_{n}\}$, $ \{
Song, Yisheng, Wang, Hongjun
core   +1 more source

L∞‐error estimates for a class of semilinear elliptic variational inequalities and quasi‐variational inequalities

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 5, Page 309-319, 2001., 2001
This paper deals with the finite element approximation of a class of variational inequalities (VI) and quasi‐variational inequalities (QVI) with the right‐hand side depending upon the solution. We prove that the approximation is optimally accurate in L∞ combining the Banach fixed point theorem with the standard uniform error estimates in linear VIs and
M. Boulbrachene   +2 more
wiley   +1 more source

Shape of extremal functions for weighted Sobolev-type inequalities

open access: yesAdvances in Nonlinear Analysis
We study the shape of solutions to certain variational problems in Sobolev spaces with weights that are powers of ∣x∣| x| . In particular, we detect situations when the extremal functions lack symmetry properties such as radial symmetry and antisymmetry.
Brock Friedemann   +3 more
doaj   +1 more source

Optimal control for cooperative systems involving fractional Laplace operators

open access: yesJournal of Inequalities and Applications, 2021
In this work, the elliptic 2 × 2 $2\times 2$ cooperative systems involving fractional Laplace operators are studied. Due to the nonlocality of the fractional Laplace operator, we reformulate the problem into a local problem by an extension problem. Then,
H. M. Serag   +2 more
doaj   +1 more source

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