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Estimating the Frèchet Normal Cone in Optimization Problems with Nonsmooth Vanishing Constraints

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Iranian Journal of Science and Technology, Transactions A: Science Aims and scope Submit manuscript

Abstract

The paper deals with the mathematical programming problems with nonsmooth vanishing constraints. The main focus is on the estimating the Frèchet normal cone of feasible set and presenting some stationary conditions for the problem. The obtained results generalize and improve some recent theorems in differentiable case.

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Authors and Affiliations

  1. Department of Mathematics, Payame Noor University (PNU), P. O. Box 19395-3697, Tehran, Iran

    Sajjad Kazemi & Nader Kanzi

  2. Department of Mathematics, Faculty of Scince, Urmia University, Urmia, Iran

    Ali Ebadian

Authors
  1. Sajjad Kazemi
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  2. Nader Kanzi
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  3. Ali Ebadian
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Correspondence to Nader Kanzi.

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Kazemi, S., Kanzi, N. & Ebadian, A. Estimating the Frèchet Normal Cone in Optimization Problems with Nonsmooth Vanishing Constraints. Iran J Sci Technol Trans Sci 43, 2299–2306 (2019). https://doi.org/10.1007/s40995-019-00683-8

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  • DOI: https://doi.org/10.1007/s40995-019-00683-8

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