From interpolative contractive mappings to generalized Ciric-quasi contraction mappings

• Roy, Kushal ^[1] ; Panja, Sayantan ^[1]
  1. [1] University of Burdwan
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 22, Nº. 1, 2021, págs. 109-120
• Idioma: inglés
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• Resumen

  • 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.