||Some Notes on Fixed Point Theorems in ν-generalized Metric Spaces
Suzuki, Tomonari ,
Alamri, BadriahKhan, Liaqat Ali
Bulletin of the Kyushu Institute of Technology. Pure and applied mathematics
23 , 2015-03-31
We study ν-generalized metric spaces. We first study the concept of Cauchy sequence. We next give a proof of the Banach contraction principle in ν-generalized metric spaces. The proof is similar to the proof of the original Banach contraction principle in metric spaces. Also, we give proofs ofKannan’s and Ciric’s fixed point theorems in ν-generalized metric spaces.