Amirkabir University of Technology AUT Journal of Mathematics and Computing 2783-2449 4 2 2023 03 01 The warped generalized Lagrange space and its application in physics 183 193 4783 10.22060/ajmc.2022.20992.1076 EN Yousef Alipour Fakhri Department of Mathematics, Payame Noor University, 19395-3697, Tehran, Iran 0000-0002-7085-2896 Mojtaba Garossi Department of Complementary Education, Payame Noor University, Tehran, Iran Journal Article 2022 01 14 In this paper, we define the warped generalized Lagrangian (WGL) spaces and then examine some of their properties. In the following, we generalize the ``Tavakol-van den Bergh" condition in the theory of relativity (see 5) in this space, which is an example of the application of the warped generalized Lagrangian spaces in relativity (Theorem 4.6). We show that condition EPS in these spaces holds provided that the warped function $f$ satisfies the condition $\Big(e^{2f}\Big)^i=0$. generalized Lagrange space Warped product non-linear connection https://ajmc.aut.ac.ir/article_4783_8289889263db4a40463e3f358bb7c7a1.pdf