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• [1] Z. H. Huang, Y. Zhang, W. Wu, A smoothing-type algorithm for solving system of inequalities, J. Comput. Appl. Math., 220 (2008), 355–363.
• [2] Y. Liuyang, C. Fei, W. Zhongping, L. Weigang, W. Wenbo, A nonmonotone smoothing Newton method for system of nonlinear inequalities based on a new smoothing function, Comput Appl. Math., 134 (2019), 38–91.
• [3] C. Wu, J. Wang, J. H. Alcantara and J. S. Chen, Smoothing strategy along with conjugate gradient algorithm for signal seconstruction, J. Sci. Comput. 87 (2021), 21.
• [4] Y. Xiao, Q. Wang, Q. Hu, Non-smooth equations based method for `1-norm problems with applications to compressed sensing, Nonlinear Anal. Theory Methods Appl., 74(11) (2011), 3570–3577.
• [5] A. S. Halilu, A. Majumder, M. Y. Waziri, K. Ahmed, A.M Awwal, Motion control of the two joint planar robotic manipulators through accelerated Dai–Liao method for solving system of nonlinear equations, Eng. Comput., 39(5) (2022), 1802–1840.
• [6] D. Malyshev, L. Rybak, G. Carbone, T. Semenenko, A. Nozdracheva, Optimal design of a parallel manipulator for aliquoting of biomaterials considering workspace and singularity zones, Appl. Sci., 12(4) (2022), 2070.
• [7] Y. Zhang, Z.-H. Huang, A nonmonotone smoothing-type algorithm for solving a system of equalities and inequalities, J. Comput. Appl. Math., 233 (2010) 2312–2321.
• [8] J. S. Chen, C. H. Ko, Y. D. Liu, S. P. Wang, New smoothing functions for solving a system of equalities and inequalities, Pacific J. Optim, 12(1) (2016), 185-206.
• [9] G. Yuan, T. Li, W. Hu, A conjugate gradient algorithm for large-scale nonlinear equations and image restoration problems, Appl. Numer. Math., 147 (2020), 129–141.
• [10] R. Li, M. Cao, G. Zhou, A new adaptive accelerated Levenberg–Marquardt method for solving nonlinear equations and its applications in supply chain problems, Symmetry, 15(3) (2023), 588.
• [11] D.Q. Mayne, E. Polak, A. J. Heunis, Solving nonlinear inequalities in a finite number of iterations, J. Optim. Theory Appl., 33(2) (1981), 207–221.
• [12] H. Che, M. Li, A smoothing and regularization Broyden-like method for nonlinear inequalities, J. Appl. Math. Comput., 41 (2013) 209–227.
• [13] A. B. Abubakar, P. Kumam, A descent Dai-Liao conjugate gradient method for nonlinear equations, Numer. Algorithms, 81 (2019), 197-210.
• [14] M. Y. Waziri, K. Ahmed, K. Two descent Dai-Yuan conjugate gradient methods for systems of monotone nonlinear equations, J. Sci. Comput., 90 (2022), 1-53.
• [15] Z. Saeidian, M. R. Peyghami, M. Habibi, S. Ghasemi, A new trust-region method for solving systems of equalities and inequalities, Comp. Appl. Math. 36 (2017), 769 70.
• [16] X. Fan, Q. Yan, Solving system of inequalities via a smoothing homotopy method, Numer Algorithms 82 (2019), 719–728.
• [17] L. Qi, D. Sun, Smoothing functions and smoothing Newton method for complementarity and variational inequality problems, J. Optim. Theory Appl. 113 (2002), 121–147.
• [18] S. Huang, Z. Wan, X. H. Chen, A new nonmonotone line search technique for unconstrained optimization, Numer. Algorithms 68 (4) (2015), 671–689.
• [19] H. C. Zhang, W. W. Hager, A nonmonotone line search technique and its application to unconstrained optimization, SIAM J. Optim., 14(4) (2004), 1043–756.
• [20] X. Chen, Smoothing methods for nonsmooth, nonconvex minimization, Math. Program. Ser. (B), 134 (2012), 71–99.
• [21] D. Bertsekas, Nondifferentiable optimization via approximation, Math Programmming Study, 3 (1975) 1–25.
• [22] I. Zang, A smooting out technique for min-max optimization, Math. Programm., 19 (1980), 61–77.
• [23] C. Chen, O.L. Mangasarian, A class of smoothing functions for nonlinear and mixed complementarity problem, Comput. Optim. Appl., 5 (1996) 97-138.
• [24] A. E. Xavier, Optimal covering of plane domains by circles via hyperbolic smoothing, J. Global Optim., 31 (2005), 493–504.
• [25] A. M. Bagirov, A. Al Nuamiat, N. Sultanova, Hyperbolic smoothing functions for nonsmooth minimization, Optimization, 62 (6) (2013), 759-782.
• [26] A. Sahiner, G. Kapusuz, N. Yilmaz, A new smoothing approach to exact penalty functions for inequality constrained optimization problems, Numer. Algebra Control Optim., 6 (2) (2016) 161–173.
• [27] N. Yilmaz, A. Sahiner, On a new smoothing technique for non-smooth, non-convex optimization, Numer. Algebra Control Optim., 10 (2020), 317–330.
• [28] C. Grossmann, Smoothing techniques for exact penalty function methods, Contemporary Mathematics: A Panaroma of Mathematics Pure and Applied, American Mathematical Society, Rhode Island, 658 (2016) 249–265.
• [29] L. Qi, P. Tseng, On almost smooth functions and piecewise smooth functions, Nonlinear Anal. 67 (2007) 773–794.
• [30] N. Yilmaz, A. Sahiner, New smoothing approximations to piecewise smooth functions and applications, Numer. Func. Anal. Optim., 40 (2019), 513–534.