On interpolative Hardy-Rogers type cyclic contractions

• Edraoui, Mohamed ^[1] ; El koufi, Amine ^[2] ; Aamri, Mohamed ^[1]
  1. [1] Université Hassan II de Casablanca

     Université Hassan II de Casablanca

     Marruecos

     
  2. [2] Université Ibn-Tofail

     Université Ibn-Tofail

     Kenitra, Marruecos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 1, 2024, págs. 117-124
• Idioma: inglés
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• Resumen

  • Recently, Karapınar introduced a new Hardy-Rogers type contractive mapping using the concept of interpolation and proved a fixed point theorem in complete metric space. This new type of mapping, called "interpolative Hardy-Rogers type contractive mapping" is a generalization of Hardy-Rogers's fixed point theorem. Following this direction of research, in this paper, we will present some fixed point results of Hardy-Rogers-type for cyclic mappings on complete metric spaces. Moreover, an example is given to illustrate the usability of the obtained results.