Fixed point results in multiplicative generalized metric spaces

Abstract

In this paper, first we introduce the notion of multiplicative generalized metric spaces and then prove the Banach contraction principle in setting of newly defined spaces. We also introduce the notion of weakly commuting, compatible maps and its variants, weakly compatible, weakly compatible with properties (E.A) and CLR in this space. Further, we prove some fixed point theorems on multiplicative generalized metric spaces and provide some suitable examples in support of our results.