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Similar results can be directly deduced for the roll.
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In this paper, we prove that some coupled fixed point theorems and coupled coincidence point theorems for contractions in fuzzy normed spaces and intuitionistic fuzzy normed spaces can be directly deduced from fixed point theorems for contractions in fuzzy normed spaces.
A characterization of generators of solution operators, analogous to the Hille-Yosida Theorem for -semigroup, can be directly deduced from [58, Theorem ]. Results on perturbation, approximation, representation as well as ergodic type theorems can be deduced from the more general context of -regularized resolvents (see [58 61]).
We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results.
Next we show how coupled and tripled coincidence point results (for instance, Theorems 17 and 21) can be directly deduced from the 'unidimensional' Theorem 33.
The existence and global asymptotic stability of the equilibria for the corresponding continuous model of (5) can be directly deduced from the obtained results in [2].
Therefore, they cannot be directly deduced from Theorem 33.
The following theorem can be directly deduced from Theorem 3.1 by applying Lemma 2.3.
Some important conclusions in the previous literatures can be directly deduced from the current model under the different extreme conditions.
This lemma can be directly deduced from Theorem 2.2 (so-called interpolation theorem) as shown in [9].
However, this cannot be directly deduced from our analysis.
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Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com