In this paper, we will discuss about fixed point theorems in generalized modular metric space for Kannan-$D_\lambda$ type mapping. The existence of the fixed point of this mapping is guaranteed by providing that the mapping domain is a -finite set and the Kannan-$D_\lambda$ mapping constant $\alpha\in(0,1/2)$ satisfied $\alpha K<1$ where K is a constant from the axiom of generalized modular metric space.
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