From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

Kushal Roy, Sayantan Panja

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.


Keywords

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

Subject classification

Primary 47H10; Secondary 54H25.

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References

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Cited-By (articles included in Crossref)

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1. Interpolative Caristi type contractive mapping in an extended b-metric space
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The Journal of Analysis  year: 2021  
doi: 10.1007/s41478-021-00342-5



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Universitat Politècnica de València

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