MMN-1263
Fixed point theorems in bimetric space endowed with binary relation and applications
- Mohammad Khan,
Sultan Qaboos University,
mohammad@squ.edu.om - Maher Berzig,
Tunis College of Sciences and Techniques, Tunis University,
maher.berzig@gmail.com - Sumit Chandok,
Khalsa College of Engineering and Technology, Punjab Technical University,
chandhok.sumit@gmail.com
Abstract
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