Criteria for generalized invex monotonicities

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

doi:10.1016/j.ejor.2003.11.017

Criteria for generalized invex monotonicities

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

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

48 Citations (Scopus)

Abstract

In this paper, under appropriate conditions, we establish that (i) if the gradient of a function is (strictly) pseudo-monotone, then the function is (strictly) pseudo-invex; (ii) if the gradient of a function is quasi-monotone, then the function is quasi-invex; and (iii) if the gradient of a function is strong pseudo-monotone, then the function is strong pseudo-invex.

Original language	English
Pages (from-to)	115-119
Number of pages	5
Journal	European Journal of Operational Research
Volume	164
Issue number	1
DOIs	https://doi.org/10.1016/j.ejor.2003.11.017
Publication status	Published - 1 Jul 2005

Keywords

Generalized invex functions
Generalized invex monotonicity
Mathematical programming

ASJC Scopus subject areas

Information Systems and Management
Management Science and Operations Research
Statistics, Probability and Uncertainty
Applied Mathematics
Modelling and Simulation
Transportation

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10.1016/j.ejor.2003.11.017

Cite this

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AU - Yang, X. M.

AU - Yang, Xiaoqi

AU - Teo, K. L.

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N2 - In this paper, under appropriate conditions, we establish that (i) if the gradient of a function is (strictly) pseudo-monotone, then the function is (strictly) pseudo-invex; (ii) if the gradient of a function is quasi-monotone, then the function is quasi-invex; and (iii) if the gradient of a function is strong pseudo-monotone, then the function is strong pseudo-invex.

AB - In this paper, under appropriate conditions, we establish that (i) if the gradient of a function is (strictly) pseudo-monotone, then the function is (strictly) pseudo-invex; (ii) if the gradient of a function is quasi-monotone, then the function is quasi-invex; and (iii) if the gradient of a function is strong pseudo-monotone, then the function is strong pseudo-invex.

KW - Generalized invex functions

KW - Generalized invex monotonicity

KW - Mathematical programming

UR - https://www.scopus.com/pages/publications/10444285358

U2 - 10.1016/j.ejor.2003.11.017

DO - 10.1016/j.ejor.2003.11.017

M3 - Journal article

SN - 0377-2217

VL - 164

SP - 115

EP - 119

JO - European Journal of Operational Research

JF - European Journal of Operational Research

IS - 1

ER -

Criteria for generalized invex monotonicities

Abstract

Keywords

ASJC Scopus subject areas

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