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

47 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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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

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DO - 10.1016/j.ejor.2003.11.017

M3 - Journal article

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JO - European Journal of Operational Research

JF - European Journal of Operational Research

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ER -

Criteria for generalized invex monotonicities

Abstract

Keywords

ASJC Scopus subject areas

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