Fixed point theorems on Ap -metric spaces

  • O. K Adewale Department of Mathematics, University of Lagos, Nigeria.
  • J. C. Umudu Department of Mathematics, University of Jos, Nigeria.
  • A. A. Mogbademu Department of Mathematics, University of Lagos, Akoka, Nigeria.
Keywords: A p -metric spaces, A p -Cauchy sequence, A p -convergent and Fixed point


The notion of A p -metric spaces, which generalizes A -metric spaces, S -metric spaces and S p -
metric spaces is introduced in this paper. Analogues of some well known xed point theorems
are established and proved in this space with an application to the solution of a nonlinear
integral equation. Our results generalize many known results in xed point theory.


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How to Cite
Adewale, O. K., Umudu , J. C., & Mogbademu , A. A. (2020). Fixed point theorems on Ap -metric spaces. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 2020(1), 657 - 668. Retrieved from