Generalized Invexity and Generalized Invariant Monotonicity

X.M. Yang, X.Q. Yang and K.L. Teo
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X.M. Yang: Chongqing Normal University
X.Q. Yang: Hong Kong Polytechnic University
K.L. Teo: Hong Kong Polytechnic University

Journal of Optimization Theory and Applications, 2003, vol. 117, issue 3, No 10, 607-625

Abstract: Abstract In this paper, several kinds of invariant monotone maps and generalized invariant monotone maps are introduced. Some examples are given which show that invariant monotonicity and generalized invariant monotonicity are proper generalizations of monotonicity and generalized monotonicity. Relationships between generalized invariant monotonicity and generalized invexity are established. Our results are generalizations of those presented by Karamardian and Schaible.

Keywords: Invariant monotone maps; generalized invariant monotone maps; invex functions; generalized invex functions (search for similar items in EconPapers)
Date: 2003
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Citations: View citations in EconPapers (12)

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DOI: 10.1023/A:1023953823177

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