Relative and mutual monotonicity
DOI:
https://doi.org/10.24193/subbmath.2022.1.05Keywords:
Minty-Browder monotonicity, h-monotonicity, mutual h-monotonicity.Abstract
In this work we first consider a certain monotonicity relative to some given one-to-one operator and prove the counterparts, adjusted to this new con- text, of most results obtained before in the joint work with G. Kassay [10]. For two operators with the same status relative to injectivity, such as two local injective operators, we define what we call mutual h-monotonicity and prove that every two mutual h-monotone local diffeomorphisms can be obtained from each other via a composition with a h-monotone diffeomorphism.
Mathematics Subject Classification (2010): 47H99, 55M25, 55M20.
Received 15 December 2021; Accepted 29 December 2021.
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