Results 41 to 50 of about 1,076 (134)

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

Convergence theorem for common fixed points of a finite family of multi-valued Bregman relatively nonexpansive mappings

open access: yes, 2014
In this paper, it is our purpose to introduce an iterative process for the approximation of a common fixed point of a finite family of multi-valued Bregman relatively nonexpansive mappings.
N. Shahzad, H. Zegeye
semanticscholar   +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

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

Hierarchical convergence of an implicit double-net algorithm for nonexpansive semigroups and variational inequality problems

open access: yes, 2011
In this paper, we show the hierarchical convergence of the following implicit double-net algorithm: xs,t=s[tf(xs,t)+(1-t)(xs,t-μAxs,t)]+(1-s)1λs∫0λsT(v)xs,tdν,∀s,t∈(0,1), where f is a ρ-contraction on a real Hilbert space H, A : H → H is an α-inverse ...
Yonghong Yao, Y. Je Cho, Y. Liou
semanticscholar   +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

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

Characterizations of weak-ANODD set-valued mappings with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach spaces

open access: yes, 2013
In ordered Banach spaces, characterizations of ordered (αA,λ)-weak-ANODD set-valued mappings are introduced and studied, which is applied to giving an approximate solution for a new class of general nonlinear mixed-order quasi-variational inclusions ...
Hong Gang Li, D. Qiu, Yangyang Zou
semanticscholar   +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

Solving GNOVI frameworks involving (γG,λ)-weak-GRD set-valued mappings in positive Hilbert spaces

open access: yes, 2014
First, a new concept, positive Hilbert spaces, is introduced and some fundamental inequalities which are applied to studying the properties of the resolvent operator associated for (γG,λ)-weak-GRD set-valued mappings are introduced and discussed in ...
Hong Gang Li   +3 more
semanticscholar   +1 more source

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