Continuous generalized convex functions and their characterizations

Xiaoqi Yang

doi:10.1080/02331930500100163

Continuous generalized convex functions and their characterizations

Xiaoqi Yang

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

8 Citations (Scopus)

Abstract

The notions of continuous (strictly) pseudoconvex functions and set-valued (strictly) pseudomonotone maps are introduced. Relations between these notions are given using an asymptotic mean value theorem. Characterizations of a continuous quasiconvex function are derived.

Original language	English
Pages (from-to)	495-506
Number of pages	12
Journal	Optimization
Volume	54
Issue number	4-5
DOIs	https://doi.org/10.1080/02331930500100163
Publication status	Published - 1 Aug 2005

Keywords

Mean value theorem
Pseudoconvex function
Pseudomonotone map
Quasiconvex function

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

More information

10.1080/02331930500100163

Cite this

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KW - Pseudomonotone map

KW - Quasiconvex function

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Continuous generalized convex functions and their characterizations

Abstract

Keywords

ASJC Scopus subject areas

More information

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