Fixed point theorem for S-phi-psi-F-contraction mappings in ordered partial metric space with an application to integral equation

  • Lucas Wangwe Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania
  • Santosh Kumar Department of Mathematics, University of Dar es Salaam, Tanzania

Abstract

In this paper, we prove fixed point theorem for F-contractions mappings in ordered partial metric space with an application to the integral equation. This paper will generalise the theorem proven by Imdad \emph{et al.} to an ordered partial metric space. We also provided an illustrative example and application to integral equations to validate the results.

Author Biography

Lucas Wangwe, Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, Tanzania

Department of Mathematics,

College of Natural and Applied Sciences,

P.O. Box-35062

University of Dar es Salaam, Tanzania

Published
2021-11-23