In this paper, we define the vertex product cordial labeling for some path related graphs like P 2 n , path union of k copies of P 2 n graph and Pn ⊙ K1. We also discuss vertex product cordial labeling of helm graph and some graphs related to gear graph. In the present paper, we also show that the graph obtained from cycle Cn after switching of a vertex admits vertex product cordial labeling. Moreover we show that corona product Cn ⊙K1, ladder graph Pn × P2 with one edge path to one vertex, Cn ⊙Km and the banana tree BT (n1, n2, n3) also admits vertex product cordial labeling with certain conditions.
Motivated by the concepts of fuzzy metric and m-metric spaces, we introduced the notion of Non-Archimedean fuzzy m-metric space which is an extension of partial fuzzy metric space. We present some examples in support of this new notion. Regarding this notion, its topological structure and some properties are specified simultaneously. At the end, some fixed point results are also provided.
scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.