Common Caristi-type Fixed Point Theorem for Two Single Valued Mappings in Cone Metric Spaces
Lazaiz Samih
Laboratory of Algebra Analysis and Applications, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.
Aamri Mohamed
Laboratory of Algebra Analysis and Applications, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.
Saffaj Hamza
Laboratory of Algebra Analysis and Applications, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.
Zakary Omar *
Laboratory of Analysis Modeling and Simulation, Department of Mathematics and Computer Science, Faculty of Sciences Ben M'Sik, Hassan II University of Casablanca, BP 7955, Sidi Othman, Casablanca, Morocco.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we obtain a common Caristi-type fixed point theorem for two single valued mappings in the setting of cone metric spaces. Further, we derive some consequences and a coupled fixed point theorem for two mappings without the need of the monotonicity assumption. Our work is supported by different examples.
Keywords: Caristi, Fixed point, Common fixed point, Coupled fixed point, Cone metric space.