On finsler space with a special (α, β)-metric

Abstract

In the present paper a special (α, β)-metric, which is considered as a generalization of the Rander's metric as well as of the Z. Shen's square metric, has been studied and the conditions for a Finsler space with this special metric to be a Berwald space, a Douglas space and Weakly-Berwald space respectively, have also been found. © Indian Mathematical Society, 2015.