From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

In this article we consider a restricted version of Ćirić-quasi contraction mapping for showing that this mapping generalizes several known interpolative type contractive mappings. Also here we introduce the concept of interpolative strictly contractive type mapping T and prove a fixed point theorem for such mapping over a T -orbitally compact metric space. Some examples are given in support of our established results. Finally we give an observation regarding (λ, α, β)-interpolative Kannan contractions introduced by Gaba et al. 2010 MSC: 47H10; 54H25.