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  1. Research

    A modified nonmonotone BFGS algorithm for unconstrained optimization

    In this paper, a modified BFGS algorithm is proposed for unconstrained optimization. The proposed algorithm has the following properties: (i) a nonmonotone line search technique is used to obtain the step size

    Xiangrong Li, Bopeng Wang and Wujie Hu

    Journal of Inequalities and Applications 2017 2017:183

    Published on: 9 August 2017

  2. Research

    A generalization of a theorem of Bor

    In this paper, a general theorem concerning absolute matrix summability is established by applying the concepts of almost increasing and δ-quasi-monotone sequences.

    Hikmet Seyhan Özarslan and Bağdagül Kartal

    Journal of Inequalities and Applications 2017 2017:179

    Published on: 2 August 2017

  3. Research

    A new kind of inner superefficient points

    In this paper, some properties of the interior of positive dual cones are discussed. With the help of dilating cones, a new notion of inner superefficient points for a set is introduced. Under the assumption o...

    Yihong Xu, Lei Wang and Chunhui Shao

    Journal of Inequalities and Applications 2017 2017:177

    Published on: 1 August 2017

  4. Research

    Oscillations in deviating difference equations using an iterative technique

    The paper deals with the oscillation of the first-order linear difference equation with deviating argument and nonnegative coefficients. New sufficient oscillation conditions, involving limsup, are given, whic...

    George E Chatzarakis and Irena Jadlovská

    Journal of Inequalities and Applications 2017 2017:173

    Published on: 26 July 2017

  5. Research

    Some new results on convex sequences

    In the present paper, we obtained a main theorem related to factored infinite series. Some new results are also deduced.

    Hüseyin Bor

    Journal of Inequalities and Applications 2017 2017:165

    Published on: 14 July 2017

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