Study on Fixed Point Theorems of Weakly Compatible Mappings in b2-Metric Space Satisfying Contractive Conditions

Authors

  • Thokchom Chhatrajit Singh Department of Mathematics, Manipur Technical University, Imphal, Manipur -795004, India.
  • Yumnam Rohen Singh Department of Mathematics, National Institute of Technology Manipur, Langol, India.
  • K. Anthony Singh Department of Mathematics, D.M. College of Science, Dhanamanjuri University, Imphal, India.

DOI:

https://doi.org/10.9734/bpi/ctmcs/v7/3281F

Keywords:

2-metric space; b-metric space, b2-metric space, weakly compatible, contractive conditions, (\(\varphi\), \(\psi\)) contractive conditions

Abstract

The concept of 2-metric space and b-metric space.  Mustafa et.  al. (Z. Mustafa. V, Paraneh, J. Razaei and  Z. Kadulberg: b2 -metric spaces and  some fixed point theorems, Fixed Point Theory  and  Applications 2014,  2014:144)  introduced b2 -metric space  are generalised. In this  paper, we prove  a common fixed point theorem for two pairs  of weakly  compatible mappings satisfying (\(\varphi\), \(\psi\)) contractive condition in b2 -metric space.

Published

2021-08-05

How to Cite

Thokchom Chhatrajit Singh, Yumnam Rohen Singh, & K. Anthony Singh. (2021). Study on Fixed Point Theorems of Weakly Compatible Mappings in b2-Metric Space Satisfying Contractive Conditions. Current Topics on Mathematics and Computer Science Vol. 7, 50–64. https://doi.org/10.9734/bpi/ctmcs/v7/3281F

Issue

Current Topics on Mathematics and Computer Science Vol. 7

Section

Chapters