Generalized monotone maps are studied under affine variable transformations. The results enable us to generate generalized monotone matrices of any size. Various necessary conditions and sufficient conditions for generalized monotone matrices are derived. Furthermore, admissible translations of generalized monotone linear maps are studied. Finally, the maximal domain of generalized monotonicity is characterized
Pini, R., Schaible, S. (1994). Invariance properties of generalized monotonicity. OPTIMIZATION, 28(3/4), 211-222 [10.1080/02331939408843916].
Invariance properties of generalized monotonicity
Pini, R;
1994
Abstract
Generalized monotone maps are studied under affine variable transformations. The results enable us to generate generalized monotone matrices of any size. Various necessary conditions and sufficient conditions for generalized monotone matrices are derived. Furthermore, admissible translations of generalized monotone linear maps are studied. Finally, the maximal domain of generalized monotonicity is characterized
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