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  1. We reinvestigate the convergence properties of the SQP-type method for solving nonlinear semidefinite programming problems studied by Correa and Ramirez (2004). We prove, under the strong second-order sufficie...

    Authors: Yun Wang, Shaowu Zhang and Liwei Zhang
    Citation: Journal of Inequalities and Applications 2007 2008:218345
  2. The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory. In this paper, we consider one axiomatic approach to this notion which includes the most im...

    Authors: Boulbeba Abdelmoumen, Abdelkader Dehici, Aref Jeribi and Maher Mnif
    Citation: Journal of Inequalities and Applications 2007 2008:852676
  3. We introduce some approximate optimal solutions and a generalized augmented Lagrangian in nonlinear programming, establish dual function and dual problem based on the generalized augmented Lagrangian, obtain a...

    Authors: Zhe Chen, Kequan Zhao and Yuke Chen
    Citation: Journal of Inequalities and Applications 2007 2007:019323
  4. The purpose of the present paper is to introduce several new classes of analytic functions defined by using the Choi-Saigo-Srivastava operator associated with the Dziok-Srivastava operator and to investigate v...

    Authors: Oh Sang Kwon and Nak Eun Cho
    Citation: Journal of Inequalities and Applications 2007 2007:051079
  5. We consider a new algorithm for a generalized system for relaxed cocoercive nonlinear inequalities involving three different operators in Hilbert spaces by the convergence of projection methods. Our results in...

    Authors: Meijuan Shang, Yongfu Su and Xiaolong Qin
    Citation: Journal of Inequalities and Applications 2007 2007:05398
  6. We establish generalizations of Steffensen's integral inequality on time scales via the diamond- http://static-content.springer.com/image/art%3A10.1155%2F2007%2F46524/MediaObjects/13660_2007_Article_1707_IEq1_HTML.gif dynamic integral, which is defined as a...

    Authors: Umut Mutlu Ozkan and Hüseyin Yildirim
    Citation: Journal of Inequalities and Applications 2007 2007:046524
  7. A new simple proof of Shafer-Fink-type inequality proposed by Malešević is given.

    Authors: Ling Zhu
    Citation: Journal of Inequalities and Applications 2007 2007:067430
  8. This paper discusses some spectral properties of class http://static-content.springer.com/image/art%3A10.1155%2F2007%2F27195/MediaObjects/13660_2006_Article_1688_IEq2_HTML.gif operators for http://static-content.springer.com/image/art%3A10.1155%2F2007%2F27195/MediaObjects/13660_2006_Article_1688_IEq3_HTML.gif

    Authors: Jiangtao Yuan and Zongsheng Gao
    Citation: Journal of Inequalities and Applications 2007 2007:027195
  9. We generalize and sharpen Aczél's inequality and Popoviciu's inequality by means of two classical inequalities, a unified improvement of Aczél's inequality and Popoviciu's inequality is given. As application, ...

    Authors: Shanhe Wu
    Citation: Journal of Inequalities and Applications 2007 2007:072173
  10. We establish some new Opial-type inequalities involving functions of two and many independent variables. Our results in special cases yield some of the recent results on Opial's inequality and also provide new...

    Authors: Wing-Sum Cheung and Chang-Jian Zhao
    Citation: Journal of Inequalities and Applications 2007 2007:038347

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