Fixed Point Theorem for Set Valued Mapping with Rational Condition

  • Liqaa J. Khaleel Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
  • Buthainah A. A. Ahmed Department of Mathematics, College of Science, University of Baghdad, Baghdad, Iraq
Keywords: partial metric space, Hausdorff metric, usual metric, lower semi continuous function and Banach contraction principle

Abstract

In this paper, we generalized the principle of Banach contractive to the relative formula and then used this formula to prove that the set valued mapping has a fixed point in a complete partial metric space. We also showed that the set-valued mapping can have a fixed point in a complete partial metric space without satisfying the contraction condition. Additionally, we justified an example for our proof.

Published
2020-04-26
How to Cite
Khaleel, L. J., & Ahmed, B. A. A. (2020). Fixed Point Theorem for Set Valued Mapping with Rational Condition. Iraqi Journal of Science, 61(4), 805-810. https://doi.org/10.24996/ijs.2020.61.4.12
Section
Mathematics