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The scheme is based on the idea of decomposition of a global orthogonal transform into consecutive mappings of a conformal mapping and an auxiliary orthogonal mapping, which was suggested by Kang and Leal (J, Comput. Phys.102, 78 (1992)).
Methods applied were interviews, observation and behaviour mapping, which was used in conjunction with affordance theory.
Lastly, Gajda [5] answered the question for another case of linear mapping, which was rased by Rassias.
Among them, we mention the α-ψ-contractive mapping, which was introduced by Samet et al. [9] via α-admissible mappings.
We also remark that if κ = 1, then S is said to be an asymptotically pseudocontractive mapping which was introduced by Schu [17] in 1991.
We also remark here that if κ = 1, then S is said to be an asymptotically pseudocontractive mapping which was introduced by Schu [13] in 1991.
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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.
For example (Tx=1-x^{frac{2}{3}}), (0leq xleq1), is a continuous pseudocontractive mapping which is not a nonexpansive mapping.
Let us give an example of a generalized nonexpansive mapping which is not a nonspreading mapping.
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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