Title of article :
Common fixed point theorems on Branciari metric spaces via simulation functions
Author/Authors :
Lakzian, Hossein Department of Mathematics - Payame Noor University, Tehran, I.R. of Iran , Chanda, Ankush Department of Mathematics - National Institute of Technology Durgapur, India , Aydi, Hassen Universite de Sousse - Institut Superieur d'Informatique et des Techniques de Communication, Tunisia
Abstract :
In this article, we secure couple of exciting common fixed point theorems via simulation functions in Branciari metric spaces context. These results improve, complement and generalize the rescent fixed point theorems of Aydi et al. [Results Math. 71 (2017), no. 1-2, 73-92] and others. Our findings are aptly endorsed by some interesting non-trivial examples which also illustrate the usefulness of these generalizations. Finally, we discuss an application of our conceived results in certain integralequations.
Keywords :
Fixed point , simulation functions , Branciari metric space , alpha-admissible functions
Journal title :
International Journal of Nonlinear Analysis and Applications
