Title :
Several Examples for Generalized Invariant Monotonicity
Author :
Guo, Yunlian ; Fan, Liya
Author_Institution :
Dept. of Math., Tianjin Polytech. Univ., Tianjin, China
Abstract :
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.
Keywords :
optimisation; set theory; generalized invariant monotonicity; invariant pseudomonotonicity; invariant quasimonotonicity; invex set; optimization problem; Mathematics;
Conference_Titel :
Computational Sciences and Optimization, 2009. CSO 2009. International Joint Conference on
Conference_Location :
Sanya, Hainan
Print_ISBN :
978-0-7695-3605-7
DOI :
10.1109/CSO.2009.266
