In this paper, we prove common fixed point theorems in fuzzy metric spaces for weakly compatible mappings along with property (E. A.) satisfying implicit relation. Property (E. A.) buys containment of ranges without any continuity requirement besides minimizing the commutativity conditions of the maps to commutativity at their point of coincidence. Moreover, property (E. A.) allows replacing the completeness requirement of the space with a more natural condition of closeness of the range.
In this paper we prove a common fixed point theorem for two Banach pairs of mappings which satisfy the contraction conditions in cone metric spaces without the assumption of normality condition.
Theset of vertices ( ) and set of edges ( ) forms a mathematical structure, which is called graph . A -coloring of a graph = ( , ) is a coloring : → such that, for each in , there exists some vertex in ( ) which is colored by and = \{ }.In this paper, we give the exact value for the -chromatic number of triangular snake graph and middle graph of triangular snake graph, which is denoted by and T n respectively.
In this paper, we prove common fixed point theorem for two self mappings defined on Fuzzy Normed Space. Our result is an extension of Cheng-Cheng Zhu et al.
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