A New Generalization of M-Metric Space With Some Fixed Point Theorems

Abstract

In this paper, we introduce a new sequential space as a generalization of M-metric spaces and M-b-metric spaces. In this generalized space we define two contractive mappings namely m-contraction and m-quasi-contraction and prove some fixed point theorems for such type of mappings. Several illustrative examples have been presented in strengthening the hypothesis of our theorems.