# American Institute of Mathematical Sciences

2016, 6(2): 161-173. doi: 10.3934/naco.2016006

## A new smoothing approach to exact penalty functions for inequality constrained optimization problems

 1 Suleyman Demirel University, Department of Mathematics, Isparta, 32100, Turkey, Turkey, Turkey

Received  December 2015 Revised  May 2016 Published  June 2016

In this study, we introduce a new smoothing approximation to the non-differentiable exact penalty functions for inequality constrained optimization problems. Error estimations are investigated between non-smooth penalty function and smoothed penalty function. In order to demonstrate the effectiveness of proposed smoothing approach the numerical examples are given.
Citation: Ahmet Sahiner, Gulden Kapusuz, Nurullah Yilmaz. A new smoothing approach to exact penalty functions for inequality constrained optimization problems. Numerical Algebra, Control & Optimization, 2016, 6 (2) : 161-173. doi: 10.3934/naco.2016006
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##### References:
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