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Hence, S is a contraction with a contractive coefficient 1 − t τ. □.
Hence, S is a contraction with a contractive constant ς − t τ. □.
Then S = ( I − t μ B ) : H → H is a contraction with a contractive coefficient 1 − t τ and τ = 1 2 μ ( 2 η − μ k 2 ).
Then S : = ς I − t μ F : H → H is a contraction with a contractive constant ς − t τ, where τ = 1 − 1 − μ ( 2 η − μ ρ 2 ).
(Phi_{1}) is a contraction with a contraction constant k, and.
Let f : C → C be a contraction with a contraction coefficient ρ ∈ ( 0, 1 ).
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Throughout this paper, will denote a -strongly accretive and -strictly pseudo-contractive mapping with, and is a contraction with coefficient on a Hilbert space.
If (0< L<1), then the mapping A is a contraction with constant L. Clearly a nonexpansive mapping is a 0-strict pseudo contractive mapping [3].
Therefore, the operator A is a contraction with Lipschitz constant γ.
If (0< L<1), then the mapping A is a contraction with constant L. .
Since is a contraction with closed values, is a complete metric space.
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