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.
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DOI: https://doi.org/10.22190/FUMI200310007K
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