Fixed point results for θ-ф interpolative mappings in super metric space with an application

This paper aims at introducing the notion of generalized interpolative ?-? contraction, interpola-tive Matkowski type contraction and an interpolative ?-? Kannan type contraction in frame of Super metric space. The result proved in this paper improve and extend the corresponding results due to Matkowski and Karapinar, Kannan and Karapinar. Examples are given to demonstrate the relevance of our results. As application, we obtain the solution for the non-linear matrix equations.