Suhad Subhi Aiadi, Wan Ainun Mior Othman, Kok Bin Wong, Nabil Mlaiki

A New Extension of CJ Metric Spaces—Partially Controlled J Metric Spaces

  • General Mathematics
  • Engineering (miscellaneous)
  • Computer Science (miscellaneous)

This article introduces the concept of partially controlled J metric spaces; in particular, the J metric space with self-distance is not necessarily zero, which is important in computer science. We prove the existence of a unique fixed point for linear and nonlinear contractions, provide some examples to prove the existence of this metric space, and present some important applications in fractional differential equations, i.e., “Riemann–Liouville derivatives”.

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