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Also, let f and g be continuous.

Example 3.1 Let g be continuous on interval A ≜ [ 0, 1 ].

Suppose F ( X × X ) ⊆ g ( X ), g is continuous and F and g are compatible.

Let X be complete, F and g be continuous and compatible.

Let X be complete, F and g be continuous and commuting.

end{aligned} Since g is continuous, the sequence ({gx_{n}}) converges to gx.

We assume that h, g are continuous, coercive and positive functions.

Let f and g be continuous mappings from a metric space ( X, d ) into itself.

[26] Let I = [ a, b ] T, where a, b ∈ T. Let g be continuous on I.

By the continuity of g, we have G is continuous.

On the other hand, by the continuity of f we know the operator G is continuous.

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