Fixed point theorems for a new class of nonexpansive mappings

• Pant, Rajendra ^[1] ; Shukla, Rahul ^[2]
  1. [1] University of Johannesburg

     University of Johannesburg

     City of Johannesburg, Sudáfrica

     
  2. [2] Walter Sisulu University

     Walter Sisulu University

     King Sabata Dalindyebo, Sudáfrica

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 377-390
• Idioma: inglés
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• Resumen

  • We consider a new class of nonlinear mappings that generalizes two well-known classes of nonexpansive type mappings and extends some other classes of mappings. We present some existence and convergence results for this class of mappings. Some illustrative examples presented herein show the generality of the obtained results.