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  1. We consider the interior regularity for weak solutions of second-order nonlinear elliptic systems with subquadratic growth under natural growth condition. We obtain a general criterion for a weak solution to b...

    Authors: Shuhong Chen and Zhong Tan
    Citation: Journal of Inequalities and Applications 2010 2010:680714
  2. By using a random version of the theory of contractor introduced by Altman, we introduce and study a system of nonlinear operator equations for a mixed family of fuzzy and crisp operators in probabilistic norm...

    Authors: YeolJe Cho, Heng-you Lan and Nan-jing Huang
    Citation: Journal of Inequalities and Applications 2010 2010:152978
  3. The purpose of this expository paper is to collect some (mainly recent) inequalities, conjectures, and open questions closely related to isoperimetric problems in real, finite-dimensional Banach spaces (= Mink...

    Authors: Horst Martini and Zokhrab Mustafaev
    Citation: Journal of Inequalities and Applications 2010 2010:697954
  4. A number of problems in Economics, Finance, Information Theory, Insurance, and generally in decision making under uncertainty rely on estimates of the covariance between (transformed) random variables, which c...

    Authors: Martín Egozcue, Luis Fuentes García, Wing-Keung Wong and Ričardas Zitikis
    Citation: Journal of Inequalities and Applications 2010 2010:619423
  5. We introduce nondifferentiable multiobjective programming problems involving the support function of a compact convex set and linear functions. The concept of (properly) efficient solutions are presented. We f...

    Authors: KwanDeok Bae, YoungMin Kang and DoSang Kim
    Citation: Journal of Inequalities and Applications 2010 2010:930457
  6. Motivated and inspired by the recent works on implicit iteration methods, we prove necessary and sufficient conditions for strong convergence of the eventually implicit iteration methods with errors to a commo...

    Authors: Tae-Hwa Kim and Kui-Yeon Kim
    Citation: Journal of Inequalities and Applications 2010 2010:820535
  7. In 1994, Lavoie et al. have succeeded in artificially constructing a formula consisting of twenty three interesting results, except for five cases, closely related to the classical Dixon's theorem on the sum o...

    Authors: Junesang Choi
    Citation: Journal of Inequalities and Applications 2010 2010:589618
  8. Motivated by the work of B.-S. Lian and Q.-H. Yang (2010) we proved an Ostrowski inequality associated with Carnot-Carathéodory distance in the Grushin plane. The procedure is based on a representation formula...

    Authors: Heng-Xing Liu and Jing-Wen Luan
    Citation: Journal of Inequalities and Applications 2010 2010:987484
  9. We prove positive semidefiniteness of matrices generated by differences deduced from majorization-type results which implies exponential convexity and log-convexity of these differences and also obtain Lyapuno...

    Authors: M Anwar, N Latif and J Pečarić
    Citation: Journal of Inequalities and Applications 2010 2010:728251
  10. The asymptotical mean-square stability analysis problem is considered for a class of Cohen-Grossberg neural networks (CGNNs) with random delay. The evolution of the delay is modeled by a continuous-time homoge...

    Authors: Enwen Zhu, Hanjun Zhang and Jiezhong Zou
    Citation: Journal of Inequalities and Applications 2010 2010:247587
  11. We investigate the nontrivial solutions for a class of the systems of the superquadratic nonlinear wave equations with Dirichlet boundary condition and periodic condition with a superquadratic nonlinear terms ...

    Authors: Tacksun Jung and Q-Heung Choi
    Citation: Journal of Inequalities and Applications 2010 2010:850602
  12. We prove a strong convergence theorem for finding a common element of the set of solutions for generalized equilibrium problems, the set of fixed points of a relatively nonexpansive mapping, and the set of fix...

    Authors: Min Liu, Shih-Sen Chang and Ping Zuo
    Citation: Journal of Inequalities and Applications 2010 2010:101690
  13. Wiman's theorem says that an entire holomorphic function of order less than 1/2 has a minimum modulus converging to http://static-content.springer.com/image/art%3A10.1155%2F2010%2F604217/MediaObjects/13660_2009_Article_2202_IEq1_HTML.gif along a sequence. Arima's t...

    Authors: O Martio, VM Miklyukov and M Vuorinen
    Citation: Journal of Inequalities and Applications 2010 2010:604217
  14. The purpose of this paper is to present a regularization variant of the inertial proximal point algorithm for finding a common element of the set of solutions for a variational inequality problem involving a h...

    Authors: JongKyu Kim and Nguyen Buong
    Citation: Journal of Inequalities and Applications 2010 2010:451916
  15. We analyze discontinuous Galerkin methods with penalty terms, namely, symmetric interior penalty Galerkin methods, to solve nonlinear Sobolev equations. We construct finite element spaces on which we develop f...

    Authors: MiRay Ohm, HyunYoung Lee and JunYong Shin
    Citation: Journal of Inequalities and Applications 2010 2010:895187
  16. We establish some maximal inequalities for demimartingales which generalize the result of Wang (2004). The maximal inequality for demimartingales is used as a key inequality to establish other results includin...

    Authors: Wang Xuejun, Hu Shuhe, Zhao Ting and Yang Wenzhi
    Citation: Journal of Inequalities and Applications 2010 2010:838301
  17. We introduce a general iterative method for finding the solution of the variational inequality problem over the fixed point set of a nonexpansive semigroup in a Hilbert space. We prove that the sequence conver...

    Authors: Jinlong Kang, Yongfu Su and Xin Zhang
    Citation: Journal of Inequalities and Applications 2010 2010:264052
  18. The purpose of this work is to introduce an iterative method for finding a common element of a solution set of a generalized equilibrium problem, of a solution set solutions of a variational inequality problem...

    Authors: Yan Hao, SunYoung Cho and Xiaolong Qin
    Citation: Journal of Inequalities and Applications 2010 2010:189036

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