other Mathematical Modeling and Applications of OR Mathematical Modeling and Applications of OR پژوهشی Original <span style="font-size:11pt"><span style="line-height:normal"><span style="text-autospace:none"><span style="font-family:&quot;Times New Roman&quot;,serif"><i><span lang="AR-SA" style="font-size:10.0pt"><span style="letter-spacing:-.25pt">&lrm;</span></span></i><i><span style="font-size:10.0pt"><span style="letter-spacing:-.25pt">In this paper&lrm;, a nonmonotone line search strategy is presented for minimization of the locally Lipschitz continuous function&lrm;. &lrm;First&lrm;, the Armijo condition is generalized along a descent direction at &lrm;the &lrm;current point. Then, a step length is selected along a descent direction satisfying the generalized Armijo condition. We show that there exists at least one step length satisfying the generalized Armijo condition. Next, the nonmonotone line search algorithm is proposed and its global convergence is proved. &lrm;Finally&lrm;, &lrm;the proposed algorithm is implemented in &lrm;the&lrm; MATLAB environment and compared with some methods in&lrm; the subject literature. &lrm;It can be seen that the proposed method not only computes the global optimum also reduces the number of function evaluations than the monotone line search &lrm;method.&lrm;</span></span></i></span></span></span></span><br> &nbsp; Lipschitz functions, nonmonotone line search method, Armijo condition, minimization algorithm,‎ Global convergence 73 82 http://iors.ir/journal/browse.php?a_code=A-10-1422-46&slc_lang=other&sid=1 Zohreh Akbari Zohreh Akbari z.akbari@umz.ac.ir 1111111111 1111111111 Yes University of Mazandaran - - Babolsar, Iran University of Mazandaran - - Babolsar, Iran Zeinab saeidian Zeinab saeidian saeidian@kashanu.ac.ir 1111111111 1111111111 No University of Kashan University of Kashan