Fixed point theorems on  Ap -metric spaces

O. K Adewale; J. C. Umudu; A. A. Mogbademu

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

Abstract

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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