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Sufficient conditions for local exactness of the exact penalty function method in nonsmooth optimization

Al hashimi, Farah
http://orcid.org/0000-0002-1913-9550
http://rave.ohiolink.edu/etdc/view?acc_num=miami1556652064283587

Abstract Details

2019, Master of Science, Miami University, Mathematics.
The purpose of this thesis is to examine how the exact penalty function provides solutions for nonsmooth optimization problems. It is known that under some conditions, an optimal solution of nonlinear program is also an optimal solution of the exact penalty function θp for sufficiently large parameter value. Therefore, if we find an optimal solution of the exact penalty function, this point may also be an optimal solution of the nonlinear program. We review two papers on the strict local minima of order m and the weak sharp minima of order m, an important class of nonisolated minima of the standard exact penalty function. This study presents the review of the two papers, an example to show the limitation of Corollary 3.1 in [1], and sufficient condition to ensure the optimal solution of the given example.
Douglas Ward , PhD (Advisor)
Olga Brezhneva, PhD (Committee Member)
Ebrahim Sarabi, PhD (Committee Member)
44 p.
Mathematics
strict local minimizer of order m; weak sharp minimizers; normal cone; contingent cone; exact penalty function; contingent derivative

Recommended Citations

Citations

  • Al hashimi, F. (2019). Sufficient conditions for local exactness of the exact penalty function method in nonsmooth optimization [Master's thesis, Miami University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=miami1556652064283587

    APA Style (7th edition)

  • Al hashimi, Farah. Sufficient conditions for local exactness of the exact penalty function method in nonsmooth optimization . 2019. Miami University, Master's thesis. OhioLINK Electronic Theses and Dissertations Center, http://rave.ohiolink.edu/etdc/view?acc_num=miami1556652064283587.

    MLA Style (8th edition)

  • Al hashimi, Farah. "Sufficient conditions for local exactness of the exact penalty function method in nonsmooth optimization ." Master's thesis, Miami University, 2019. http://rave.ohiolink.edu/etdc/view?acc_num=miami1556652064283587

    Chicago Manual of Style (17th edition)

miami1556652064283587
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This open access ETD is published by Miami University and OhioLINK.