Generalized invexity and generalized invariant monotonicity

X. M. Yang; Xiaoqi Yang; K. L. Teo

doi:10.1023/A:1023953823177

Generalized invexity and generalized invariant monotonicity

X. M. Yang, Xiaoqi Yang, K. L. Teo

Research output: Journal article publication › Journal article › Academic research › peer-review

117 Citations (Scopus)

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.

Original language	English
Pages (from-to)	607-625
Number of pages	19
Journal	Journal of Optimization Theory and Applications
Volume	117
Issue number	3
DOIs	https://doi.org/10.1023/A:1023953823177
Publication status	Published - 1 Jun 2003

Keywords

generalized invariant monotone maps
generalized invex functions
Invariant monotone maps
invex functions

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

More information

10.1023/A:1023953823177

Cite this

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AB - 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.

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KW - generalized invex functions

KW - Invariant monotone maps

KW - invex functions

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Generalized invexity and generalized invariant monotonicity

Abstract

Keywords

ASJC Scopus subject areas

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