Existence of fixed points of large MR-Kannan contractions in Banach Spaces

• Anjum, Rizwan ^[1] ; Abbas, Mujahid ^[2] ; Waqar Akram, Muhammad ^[1] ; Radenović, Stojan ^[3]
  1. [1] University of Education

     University of Education

     Pakistán

     
  2. [2] University of Johannesburg

     University of Johannesburg

     City of Johannesburg, Sudáfrica

     
  3. [3] University of Belgrade

     University of Belgrade

     Serbia

     

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 2, 2024, págs. 423-439
• Idioma: inglés
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• Resumen

  • The purpose of this paper is to introduce the class of large MR-Kannan contractions on Banach space that contains the classes of Kannan, enriched Kannan, large Kannan, MR-Kannan contractions and some other classes of nonlinear operators. Some examples are presented to support the concepts introduced herein. We prove the existence of a unique fixed point for such a class of operators in Banach spaces.