Fixed point theorems in bimetric space endowed with binary relation and applications

  • Mohammad Khan, Sultan Qaboos University,
  • Maher Berzig, Tunis College of Sciences and Techniques, Tunis University,
  • Sumit Chandok, Khalsa College of Engineering and Technology, Punjab Technical University,


In this paper, we obtained some fixed point results for continuous mappings satisfying a generalized contractive condition in the setting of two metrics space endowed with a binary relation. Our theorems generalize and extend several known results in the literature. As application, we establish an existence theorem for the solution of a nonlinear first order differential equation.

Vol. 16 (2015), No. 2, pp. 939-951
DOI: 10.18514/MMN.2015.1263

Download: MMN-1263