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Consider a mapping, which is reversible with respect to.
Consider the mapping, which is defined for each by (3.13).
That is, there exists a contraction mapping which is not a Kannan, and a Kannan mapping which is not a contraction.
Let (T Arightarrow 2^{A}) be a multivalued mapping which is an SK-contraction.
Let be a perturbed mapping which is both -strongly accretive and -strictly pseudocontractive with.
The following example shows that there exists a continuous quasi-nonexpansive mapping which is not nonexpansive.
It is well known that posses duality mapping which is weakly continuous (see, e.g., [11]).
In particular, J 2 is called the normalized duality mapping, which is usually denoted by J.
In [20], Aoyama and Kohsaka introduced the self-α-nonexpansive mapping which is defined as follows.
We also give an example of an ANI mapping which is not a Lipschitz function.
for all x ∈ X. Therefore C is a cubic mapping, which is unique.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com