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Stated preference researchers have previously demonstrated that a good's placement among a sequence of goods in a set of valuation questions (i.e. proximal order effects) can have a substantial impact on people's valuations of these different goods.
Superselective angiography of the right and left hepatic arteries was performed, with injection rates that allowed for reflux into the proximal order vessel.
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Let (T Arightarrow B) is continuous, proximally monotone, and proximal ordered fuzzy ψ-contraction of type-II.
Let (T Arightarrow B) is continuous, proximally monotone, and proximal ordered fuzzy ψ-contraction of type-II, (g Arightarrow A ) surjective, fuzzy expansive, and inverse monotone mapping.
Moreover, ((0,0)) is optimal coincidence point of g and T. Let (T Arightarrow B) is continuous, proximally monotone, and proximal ordered fuzzy ψ-contraction of type-II, (g Arightarrow A ) surjective, fuzzy isometry and inverse monotone mapping.
If (A=B), then proximal fuzzy order reversing mapping will become fuzzy order reversing.
If (A=B), then a proximal fuzzy order preserving mapping will become fuzzy order preserving.
Let (T Arightarrow B) be continuous, proximally monotone, and proximal fuzzy ordered ψ-contraction of type-I, (g Arightarrow A) surjective, fuzzy expansive and inverse monotone mapping.
Moreover, ((-1,0)) is an optimal coincidence point of g and T. Let (T Arightarrow B) be a continuous, proximally monotone, and proximal fuzzy ordered ψ-contraction of type-I.
Let (T Arightarrow B) is continuous, proximally monotone, and proximal fuzzy ordered ψ-contraction of type-I, (g Arightarrow A) surjective, a fuzzy isometry, and an inverse monotone mapping.
Let (T Arightarrow B) be continuous, proximally monotone, and proximal fuzzy ordered η-contraction such that, for any (t>0), (A_{0}(t) ) and (B_{0}(t)) are nonempty with (T(A_{0}(t))subseteq B_{0}(t)), (g Arightarrow A) surjective, fuzzy nonexpansive and inverse monotone mapping with (A_{0}(t)subseteq g(A_{0}(t))) for any (t>0).
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