On Douglas Tensor of Generalized Matsumoto Finsler Space

In this article, we have considered the Finsler space \(F^{n}\,(n>2)\) with a Generalized Matsumoto metric and found the necessary and sufficient criteria for it to be of Douglas type. We have also demonstrated the condition for the mentioned metric in Finsler space to become a Berwald space. The space is also projectively flat if it is a Berwald space.