Optimization Letters

, Volume 13, Issue 2, pp 309–323 | Cite as

A new global optimization technique by auxiliary function method in a directional search

  • Ahmet SahinerEmail author
  • Shehab A. Ibrahem
Original Paper


In this study, we introduce a new global optimization technique for a multi-dimensional unconstrained optimization problem. First, we present a new smoothing auxiliary function. Second, we transform the multi-dimensional problem into a one-dimensional problem by using an auxiliary function to reduce the number of local minimizers and then we find the global minimizer of the one-dimensional problem. Finally, we find the global minimizer of the multi-dimensional smooth objective function with the help of a new algorithm.


Global optimization Non-smooth optimization Smoothing technique Directional search 


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Copyright information

© Springer-Verlag GmbH Germany, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsSuleyman Demirel UniversityIspartaTurkey
  2. 2.Department of MathematicsSuleyman Demirel UniversityIspartaTurkey

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