In this paper, we mainly propose a new parameterfree filled function, which derives from two inverse trigonometric functions. First, we accomplish the analytical studies,to prove that filled function proposed in this paper possessall the properties of filled function. Secondly, based on thisparameter-free filled function, a comparatively new algorithmwas built. Finally, we implemented the algorithm to solveunconstrained global optimization problems. The computationalresults demonstrated in this paper revealed the effectiveness ofthe proposed filled function compared to some related resultsof the filled functions in the literature.
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