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In this paper we provide sufficient conditions that ensure the monotonicity,respectively the global injectivity of an operator. Further, some newanalytical conditions that assure the injectivity/univalence of a complexfunction of one complex variable are obtained. We also show that some classicalresults, such as Alexander-Noshiro-Warschawski and Wolff theorem or Mocanutheorem, are easy consequences of our results.

Injectivity and univalence of complex functions via monotonicity