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In this article we give a new definition of direct product of two arbitrary fuzzy graphs. We define the concepts of domination and total domination in this new product graph. We obtain an upper bound for the total domination number of the product fuzzy graph. Further we define the concept of total α-domination number and derive a lower bound for the total… (More)
In this article we consider general contractive mappings of the form F : CB(X) → CB(X), where CB(X) is the set of all nonempty closed and bounded subsets of a complete metric space X endowed with a graph G. We prove some fixed point results for F and discuss how the connectivity of the graph G is related to the fixed points of F .
In the present article, we introduce the new concept of start point in a directed graph and provide the characterizations required for a directed graph to have a start point. We also define the notion of a self path set valued map and establish its relation with start point in the setting of a metric space endowed with a directed graph. Further, some fixed… (More)
In this paper we introduce the notion of weak and strong intuition-istic fuzzy (Schauder) basis on an intuitionistic fuzzy n-normed linear space  and prove that an intuitionistic fuzzy n-normed linear space having a weak intuitionistic fuzzy basis is separable. Also we discuss approximation property on the same space.