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  1. Research

    Some further results on the stability of Ky Fan’s points

    In this paper, some further results on the stability of Ky Fan’s points are proposed by introducing a type of stronger perturbation of section mappings defined by a semi-metric called the maximum Hausdorff sem...

    Shuwen Xiang, Jihao He, Chengwei Liu, Wensheng Jia and Yanlong Yang

    Journal of Inequalities and Applications 2017 2017:289

    Published on: 21 November 2017

  2. Research

    Lower bounds for the low-rank matrix approximation

    Low-rank matrix recovery is an active topic drawing the attention of many researchers. It addresses the problem of approximating the observed data matrix by an unknown low-rank matrix. Suppose that A is a low-ran...

    Jicheng Li, Zisheng Liu and Guo Li

    Journal of Inequalities and Applications 2017 2017:288

    Published on: 21 November 2017

  3. Research

    On strong KKT type sufficient optimality conditions for multiobjective semi-infinite programming problems with vanishing constraints

    In this paper, we consider a nonsmooth multiobjective semi-infinite programming problem with vanishing constraints (MOSIPVC). We introduce stationary conditions for the MOSIPVCs and establish the strong Karush...

    Sy-Ming Guu, Yadvendra Singh and Shashi Kant Mishra

    Journal of Inequalities and Applications 2017 2017:282

    Published on: 14 November 2017

  4. Research

    Generalized matrix summability of a conjugate derived Fourier series

    The study of infinite matrices is important in the theory of summability and in approximation. In particular, Toeplitz matrices or regular matrices and almost regular matrices have been very useful in this con...

    M Mursaleen and Abdullah Alotaibi

    Journal of Inequalities and Applications 2017 2017:273

    Published on: 2 November 2017

  5. Research

    Chebyshev type inequalities by means of copulas

    A copula is a function which joins (or ‘couples’) a bivariate distribution function to its marginal (one-dimensional) distribution functions. In this paper, we obtain Chebyshev type inequalities by utilising c...

    Sever S Dragomir and Eder Kikianty

    Journal of Inequalities and Applications 2017 2017:272

    Published on: 30 October 2017

  6. Research

    A primal-dual algorithm framework for convex saddle-point optimization

    In this study, we introduce a primal-dual prediction-correction algorithm framework for convex optimization problems with known saddle-point structure. Our unified frame adds the proximal term with a positive ...

    Benxin Zhang and Zhibin Zhu

    Journal of Inequalities and Applications 2017 2017:267

    Published on: 25 October 2017

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