From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

Kushal Roy; Sayantan Panja

doi:10.4995/agt.2021.14045

Authors

Kushal Roy University of Burdwan
Sayantan Panja University of Burdwan

DOI:

https://doi.org/10.4995/agt.2021.14045

Keywords:

fixed point, restricted Ciric-quasi contraction mapping, interpolative strictly contractive type mapping, T-orbitally compact metric space

Abstract

In this article we consider a restricted version of Ciric-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.

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Author Biographies

Kushal Roy, University of Burdwan

Department of Mathematics

Sayantan Panja, University of Burdwan

Department of Mathematics

References

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