From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

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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Published

2021-04-01

How to Cite

[1]
K. Roy and S. Panja, “From interpolative contractive mappings to generalized Ciric-quasi contraction mappings”, Appl. Gen. Topol., vol. 22, no. 1, pp. 109–120, Apr. 2021.

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Section

Articles