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We show that the map T is not contraction as introduced by Damjanovic and Doric [7].
(C) Observe that T is not contraction of Banach type (in the sense of Gregori and Sapena), i.e., T does not satisfy the condition (G2).
Observe that T is not contraction of Banach type (in the sense of Gregori and Sapena), i.e., T does not satisfy the condition (G2).
Remark 7 In [[2], Example 3.7], the authors mentioned that 'Thus, T is not a contraction mapping and then the Banach contraction mapping cannot be applied to this example.' It is true that T is not contraction with the Euclidean metric, but one can easily verify that d ω ∘ ( T x, T y ) ≤ 3 2 d ω ∘ ( x, y ).
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CEO of Professional Science Editing for Scientists @ prosciediting.com