H-partial uniform spaces and their application in the compression of digital images

• Shukla, Satya Narayan ^[1] ; Tiwari, Surabhi ^[1]
  1. [1] Motilal Nehru National Institute of Technology

     Motilal Nehru National Institute of Technology

     India

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 25, Nº. 2, 2024, págs. 441-456
• Idioma: inglés
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• Resumen

  • Fixed point theorem is very important tool in different branches of mathematics. In this paper, we introduce partial uniform spaces as a generalization of uniform spaces and metric spaces; and study some basic properties. Various examples support the theory. We prove fixed point theorems for H-partial uniform spaces, by using a mapping called E-distance function. Finally, we give the applications of these fixed point theorems to compress digital images.