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RONG HU£¬Characterizations for vectorial prequasi-invex type functions via Jensen type inequalities£¬Journal of Mathematical Inequalities£¬ Volume 10, Number 1 (2016), 101¨C121
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CHARACTERIZATIONS FOR VECTORIAL PREQUASI-INVEX TYPE FUNCTIONS VIA JENSEN TYPE INEQUALITIES
×÷Õß:Hu, R (Hu, Rong)[ 1 ]
JOURNAL OF MATHEMATICAL INEQUALITIES
¾í: 10  ÆÚ: 1  Ò³: 101-121
DOI: 10.7153/jmi-10-09
³ö°æÄê: MAR 2016
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The purpose of this paper is to derive some criteria for vectorial prequasi-invex type functions via Jensen type inequalities. It is shown that a Jensen type inequality is sufficient and necessary for a vector function to be prequasi-invex under the condition of lower level-closedness, cone lower semicontinuity, cone upper semicontinuity and semistrict prequasi-invexity, respectively. Analogous results are established for vectorial semistrictly prequasi-invex functions and vectorial strictly prequasi-invex functions.
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×÷Õ߹ؼü´Ê:Jensen type inequalities; prequasi-invexity; semistrict prequasi-invexity; strict prequasi-invexity; lower level-closedness; cone lower semicontinuity; cone upper semicontinuity
KeyWords PlusREINVEX FUNCTIONS; SEMICONTINUITY
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ͨѶ×÷ÕßµØÖ·: Hu, R (ͨѶ×÷Õß)
ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        Chengdu Univ Informat Technol, Dept Appl Math, Chengdu 610225, Sichuan, Peoples R China.
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ÏÔʾÔöÇ¿×éÖ¯ÐÅÏ¢µÄÃû³Æ        [ 1 ] Chengdu Univ Informat Technol, Dept Appl Math, Chengdu 610225, Sichuan, Peoples R China
µç×ÓÓʼþµØÖ·:ronghumath@aliyum.com
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»ù½ð×ÊÖú»ú¹¹        ÊÚȨºÅ
National Science Foundation of China        
11201042
Scientific Research Foundation of CUIT        
J201216
KYTZ201128
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ELEMENT, R AUSTRIJE 11, 10000 ZAGREB, CROATIA
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Ñо¿·½Ïò:Mathematics
Web of Science Àà±ð:Mathematics, Applied; Mathematics
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ÎÄÏ×ÀàÐÍ:Article
ÓïÖÖ:English
Èë²ØºÅ: WOS:000378243500009
ISSN: 1846-579X
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Impact Factor (Ó°ÏìÒò×Ó): Journal Citation Reports®
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IDS ºÅ: DP1IK
Web of Science ºËÐĺϼ¯ÖÐµÄ "ÒýÓõIJο¼ÎÄÏ×": 14
Web of Science ºËÐĺϼ¯ÖÐµÄ "±»ÒýƵ´Î": 0

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