Academic Editor: Youssef EL FOUTAYENI
Received |
Accepted |
Published |
31 January 2020 |
15 February 2020 |
10 March 2020 |
Abstract: Fixed point theory is one of the most studied research axes in mathematics. It has provided a powerful tool to prove existence of solutions for numerous problems in different branches of science. The publication of the Banach contraction principle [1], has motivated and inspired researchers from different fields in science which have developed the fixed point results and prove their interest in applications to solve various scientific problems such as transport theory, biomathematics, economics,etc. The generalization of the Banach principle followed different directions ; but one of the most important direction is the generalization of the contraction (see for example [2, 3]). In 2019, E.Karapinar et al. [4], a new fixed point theorem in the setting of b-metric space has been given, by mixing Banach and Caristi-type contraction, Using a similar idea we proved a fixed point theorem by combining Ciric and Caristi-type contraction in b-metric space.
