Bulletin of Pure & Applied Sciences- Mathematics and Statistics

  • Year: 2020
  • Volume: 39e
  • Issue: 2

Fixed point results in complete Sb -metric spaces using contractive mappings*

1. Department of Mathematics, Govt. College for Women, Murthal, Sonipat, Haryana-131027, India.

2. Department of Mathematics, Deenbandhu Chhotu Ram University of Science And Technology (DCRUST), Murthal, Haryana-131039, India.

†Corresponding author Manju Rani, E-mail: manjuantil7@gmail.com

2. E-mail: nawneethooda@gmail.com

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Abstract

In this paper we prove the existence and uniqueness of fixed points for mappings satisfying contractive conditions on the complete Sb-metric spaces and show that these mappings are Sb-continuous at such fixed points.

Keywords

Fixed point theorems, Complete Sb-metric spaces, Contractive mappings