Generalized invexity and generalized invariant monotonicity

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

doi:10.1023/A:1023953823177

Generalized invexity and generalized invariant monotonicity

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

Chongqing Normal University
Hong Kong Polytechnic University

Research output: Contribution to journal › Article › peer-review

121 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 - Jun 2003
Externally published	Yes

Keywords

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

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10.1023/A:1023953823177

Cite this

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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.",

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year = "2003",

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AU - Yang, X. M.

AU - Yang, X. Q.

AU - Teo, K. L.

PY - 2003/6

Y1 - 2003/6

N2 - 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.

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.

KW - generalized invariant monotone maps

KW - generalized invex functions

KW - Invariant monotone maps

KW - invex functions

UR - https://www.scopus.com/pages/publications/0037527961

U2 - 10.1023/A:1023953823177

DO - 10.1023/A:1023953823177

M3 - Article

AN - SCOPUS:0037527961

SN - 0022-3239

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SP - 607

EP - 625

JO - Journal of Optimization Theory and Applications

JF - Journal of Optimization Theory and Applications

IS - 3

ER -

Generalized invexity and generalized invariant monotonicity

Abstract

Keywords

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