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Some properties of T-metric spaces and a common fixed point theorem

Sedghi S., Altun I., Shobe N.

Fasciculi Mathematici

2012

Nr 48

105--118

In this paper, we introduce the new definitions of T-metric space and give some properties of it. Also, we prove a common fixed point theorem for for four mappings under the condition of weakly compatible in complete T-metric spaces. A lot of fixed point theorems on ordinary metric space are special case of our main result, since every ordinary metric space is also T-metric space.