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We term the mapping that satisfy this criteria selected node mappings.
Let be a nonempty closed convex subset of a uniformly convex Banach space Suppose that is a multivalued nonexpansive mapping that satisfy Condition I. Let be the sequence of Ishikawa iterates defined by (1.13).
Furthermore, they proved some coupled fixed-point theorems for mapping that satisfy the mixed monotone property and give some applications in the existence and uniqueness of a solution for a periodic boundary value problem u ′ ( t ) = f ( t, u ( t ) ), t ∈ [ 0, T ], u ( 0 ) = u ( T ) (1.1).
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Let T be a cyclic mapping that satisfies the condition of a dqb-cyclic-Kannan mapping.
Let T be a cyclic mapping that satisfies the condition of a dqb-cyclic-Banach contraction.
Let T be a continuous cyclic mapping that satisfies the condition of a (G_{bq} -cyclic-Ciric contraction.
Let T be a continuous cyclic mapping that satisfies the condition of a (G_{q} -cyclic-Kannan contraction.
Let T be a continuous cyclic mapping that satisfies the condition of a (G_{d} -cyclic-Kannan contraction.
Let T be a cyclic mapping that satisfies the condition of a dislocated quasi-b-metric-cyclic-Banach contraction.
Let T be a continuous cyclic mapping that satisfies the condition of a (G_{bd} -cyclic-Kannan contraction.
Let T be a cyclic mapping that satisfies the condition of a (G_{dq} -cyclic-Banach contraction.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com