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  1. Variance is of great significance in measuring the degree of deviation, which has gained extensive usage in many fields in practical scenarios. The definition of the variance on the basis of the credibility me...

    Authors: Xiajie Yi, Yunwen Miao, Jian Zhou and Yujie Wang
    Citation: Journal of Inequalities and Applications 2016 2016:41
  2. In this paper, the auxiliary principle technique is extended to study a system of generalized set-valued strongly nonlinear mixed implicit quasi-variational-like inequalities problem in Hilbert spaces. First, ...

    Authors: Yang-Qing Qiu, Jin-Zuo Chen and Lu-Chuan Ceng
    Citation: Journal of Inequalities and Applications 2016 2016:38
  3. In this paper the control system is considered described by a Urysohn type integral equation which is nonlinear with respect to the state vector and is affine with respect to the control vector. The functions ...

    Authors: Idham A Alias, Nesir Huseyin and Anar Huseyin
    Citation: Journal of Inequalities and Applications 2016 2016:36
  4. The split equality problem is a generalization of the split feasibility problem, meanwhile it is a special case of multiple-sets split equality problems. In this paper, we propose an iterative algorithm for so...

    Authors: Dianlu Tian, Luoyi Shi and Rudong Chen
    Citation: Journal of Inequalities and Applications 2016 2016:34
  5. In this paper, we consider the mathematical programs with equilibrium constraints (MPECs) in Banach space. The objective function and functions in the constraint part are assumed to be lower semicontinuous. We...

    Authors: Sy-Ming Guu, Shashi Kant Mishra and Yogendra Pandey
    Citation: Journal of Inequalities and Applications 2016 2016:28
  6. Studying fixed points of nonlinear mappings in Hilbert spaces is of paramount importance (see, e.g., (Browder and Petryshyn in J. Math. Anal. Appl. 20:197-228, 1967)). We extend the notions of weakly contractive ...

    Authors: Nashat Faried and Hany A El-Sharkawy
    Citation: Journal of Inequalities and Applications 2016 2016:26
  7. As an application of an inequality for modified Poisson kernel obtained by Qiao and Deng (Bull. Malays. Math. Sci. Soc. (2) 36(2):511-523, 2013), we give the generalized solution of the Dirichlet problem with arb...

    Authors: Gaixian Xue and Junfei Wang
    Citation: Journal of Inequalities and Applications 2016 2016:24
  8. In this paper, we provide an alternative approach to partially Hölder continuity of some quasilinear elliptic systems with discontinuous coefficients under natural growth. Here, we do it by way of the modified...

    Authors: Haiyan Yu, Shenzhou Zheng and Yuxia Tong
    Citation: Journal of Inequalities and Applications 2016 2016:20
  9. We study the contact problems for elastic plates with a rigid inclusion. We consider the case of frictionless contact between the rigid part of the plate and a rigid obstacle. The contact is modeled with the S...

    Authors: Nyurgun Lazarev, Tatiana Popova and Galina Semenova
    Citation: Journal of Inequalities and Applications 2016 2016:18
  10. When multiple followers are involved in a bilevel programming problem, the leader’s decision will be affected by the reactions of these followers. For actual problems, the leader in general cannot obtain compl...

    Authors: Yue Zheng, Zhihui Zhu and Liuyang Yuan
    Citation: Journal of Inequalities and Applications 2016 2016:15
  11. In this paper, we introduce a notion of Levitin-Polyak well-posedness for generalized semi-infinite multiobjective programming problems in terms of weakly efficient solutions. We obtain some metric characteriz...

    Authors: Xian-Jun Long, Zai-Yun Peng and Xiang-Kai Sun
    Citation: Journal of Inequalities and Applications 2016 2016:12
  12. In this paper, a nonlinear integral system is considered in critical space. Some important properties of positive solutions such as symmetry, monotonicity, integrability, and asymptotic behaviors, are obtained...

    Authors: Xiaoying Wang, Junjie Li and Jiankai Xu
    Citation: Journal of Inequalities and Applications 2016 2016:8
  13. In majorization theory, the well-known majorization theorem plays a very important role. A more general result was obtained by Sherman. In this paper, concerning 2n-convex functions, we get generalizations of the...

    Authors: Ravi P Agarwal, Slavica Ivelić Bradanović and Josip Pečarić
    Citation: Journal of Inequalities and Applications 2016 2016:6
  14. The purpose of this paper is to investigate the weighted estimates of commutators generated by BMO-functions and the fractional integral operator on Morrey spaces. The main result generalizes the Sawano, Sugan...

    Authors: Takeshi Iida
    Citation: Journal of Inequalities and Applications 2016 2016:4
  15. Recently it was shown that the Fibonacci numbers can be expressed in terms of multinomial coefficients as sums over integer partitions into odd parts. In this paper, we introduce a similar representation for t...

    Authors: Cristina Ballantine and Mircea Merca
    Citation: Journal of Inequalities and Applications 2016 2016:1
  16. In this paper, we introduce a new iterative algorithm for solving the split equality generalized mixed equilibrium problems. The weak and strong convergence theorems are proved for demi-contractive mappings in...

    Authors: Mijanur Rahaman, Yeong-Cheng Liou, Rais Ahmad and Iqbal Ahmad
    Citation: Journal of Inequalities and Applications 2015 2015:418
  17. In this paper, we define some new notions of gap functions for set-valued mixed quasi-variational inequalities under suitable conditions. Further, we obtain local/global bounds for the solution of set-valued m...

    Authors: Suhel Ahmad Khan, Javid Iqbal and Yekini Shehu
    Citation: Journal of Inequalities and Applications 2015 2015:417
  18. The present paper establishes a new inequality for the covariance of a random variable, which involves functions with bounded derivatives. Some Chebyshev type integral inequalities are given as applications of...

    Authors: Zhefei He and Mingjin Wang
    Citation: Journal of Inequalities and Applications 2015 2015:413
  19. In this paper, a kind of new type Bézier operators is introduced. The Korovkin type approximation theorem of these operators is investigated. The rates of convergence of these operators are studied by means of...

    Authors: Mei-Ying Ren and Xiao-Ming Zeng
    Citation: Journal of Inequalities and Applications 2015 2015:412

    The Erratum to this article has been published in Journal of Inequalities and Applications 2016 2016:17

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