Fixed point results with respect to a wt-distance in partially ordered b-metric spaces and its application to nonlinear fourth-order differential equation

• Babaei, Reza ^[1] ; Rahimi, Hamidreza ^[1] ; Soleimani Rad, Ghasem ^[1]
  1. [1] Islamic Azad University

     Islamic Azad University

     Irán

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 1, 2022, págs. 121-133
• Idioma: inglés
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• Resumen

  • In this paper we study the existence of the fixed points for Hardy-Rogers type mappings with respect to a wt-distance in partially ordered metric spaces. Our results provide a more general statement, since we replace a w-distance with a wt-distance and ordered metric spaces with ordered b-metric spaces. Some examples are presented to validate our obtained results and an application to nonlinear fourth-order differential equation are given to support the main results.