C*-algebra valued quasi metric spaces and fixed point results with an application

• Asim, Mohammad ^[4] ; Kumar, Santosh ^[1] ; Imdad, Mohammad ^[2] ; George, Reny ^[3]
  1. [1] University of Dar es Salaam

     University of Dar es Salaam

     Gerezani, Tanzania

     
  2. [2] Aligarh Muslim University

     Aligarh Muslim University

     India

     
  3. [3] Prince Sattam Bin Abdulaziz University

     Prince Sattam Bin Abdulaziz University

     Arabia Saudí

     
  4. [4] Shree Guru Gobind Singh Tricentenary University

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• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 287-301
• Idioma: inglés
• DOI: 10.4995/agt.2022.16783
• Enlaces
  • Texto completo
• Resumen

  • In this paper, we introduce the notion of C*-algebra valued quasi metric space to generalize the notion of C*-algebra valued metric space and investigate the topological properties besides proving some core fixed point results. Finally, we employ our one of the main results to examine the existence and uniqueness of the solution for a system of Fredholm integral equations.

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