In order to show the relations between generalized monotonicity and generalized invariant monotonicity. This paper present nine examples for explaining some relations between (pseudo, quasi) monotonicity and invariant (pseudo, quasi) monotonicity. Moreover, we give eight counterexamples, which show that some examples in [X.M. Yang et al., J.Optim.Theory.Appl. 117(2003) 607-625] are incorrect.
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机译：为了显示广义单调性和广义不变单调性之间的关系。本文提供了九个示例来解释（伪，拟）单调性与不变（伪，拟）单调性之间的一些关系。此外，我们提供了8个反例，这些反例显示了[X.M. Yang et al。，J.Optim.Theory.Appl。 117（2003）607-625]不正确。
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