Fixed points results for various types of interpolative cyclic contraction

• Edraoui, Mohamed ^[1] ; El koufi, Amine ^[2] ; Semami, Soukaina ^[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. 24, Nº. 2, 2023, págs. 247-252
• Idioma: inglés
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• Resumen

  • In this paper, we introduce four new types of contractions called in this order Kannan-type cyclic contraction via interpolation, interpolative Ćirić-Reich-Rus type cyclic contraction, and we prove the existence and uniqueness for a fixed point for each situation.