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Table 1 Calculations for maps in Example 2.3

From: Remarks on the fixed point problem of 2-metric spaces

x

y

d ( T x , F y , x )

d ( T x , F y , y )

1

1

d(T 1,F 1,1)=d(1,3,1)=0

d(T 1,F 1,1)=d(1,3,1)=0

1

2

d(T 1,F 2,1)=d(1,2,1)=0

d(T 1,F 2,2)=d(1,2,2)=0

1

3

d(T 1,F 3,1)=d(1,3,1)=0

d(T 1,F 3,3)=d(1,3,3)=0

2

1

d(T 2,F 1,2)=d(3,3,2)=0

d(T 2,F 1,1)=d(3,3,1)=0

2

2

d(T 2,F 2,2)=d(3,2,2)=0

d(T 2,F 2,2)=d(3,2,2)=0

2

3

d(T 2,F 3,2)=d(3,3,2)=0

d(T 2,F 3,3)=d(3,3,3)=0

3

1

d(T 3,F 1,3)=d(3,3,3)=0

d(T 3,F 1,1)=d(3,3,1)=0

3

2

d(T 3,F 2,3)=d(3,2,3)=0

d(T 3,F 2,2)=d(3,2,2)=0

3

3

d(T 3,F 3,3)=d(3,3,3)=0

d(T 3,F 3,3)=d(3,3,3)=0