A Note on Some New Characteristics of <em>D-</em>Semi-Preinvexity

TANG Li-ping; YANG Xin-min

doi:10.3879/j.issn.1000-0887.2015.03.010

Volume 36 Issue 3

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TANG Li-ping, YANG Xin-min. A Note on Some New Characteristics of D-Semi-Preinvexity[J]. Applied Mathematics and Mechanics, 2015, 36(3): 325-331. doi: 10.3879/j.issn.1000-0887.2015.03.010

Citation:

TANG Li-ping, YANG Xin-min. A Note on Some New Characteristics of D-Semi-Preinvexity[J]. Applied Mathematics and Mechanics, 2015, 36(3): 325-331. doi: 10.3879/j.issn.1000-0887.2015.03.010

Citation:

TANG Li-ping, YANG Xin-min. A Note on Some New Characteristics of D-Semi-Preinvexity[J]. Applied Mathematics and Mechanics, 2015, 36(3): 325-331. doi: 10.3879/j.issn.1000-0887.2015.03.010

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A Note on Some New Characteristics of D-Semi-Preinvexity

doi: 10.3879/j.issn.1000-0887.2015.03.010

TANG Li-ping¹,
YANG Xin-min²

¹Institute of Tribology, Hefei University of Technology, Hefei 230009, P.R.China;²College of Chemistry and Chemical Engineering, Beifang University of Nationalities, Yinchuan 750021, P.R.China

Funds: The National Natural Science Foundation of China（Key Program）（11431004）;The National Natural Science Foundation of China(11271391)

Received Date: 2014-12-09
Rev Recd Date: 2014-12-24
Publish Date: 2015-03-15

Abstract

Abstract

Some new properties of semi-preinvexity in the sense of cones were studied. Firstly, Example 4 in the paper of PENG Zai-yun, etc.(PENG Zai-yun, LI Ke-ke, TANG Ping, HUANG Ying-quan. Characterizations and criterions of D-semiprequasi-invex mappings[J].Journal of Chongqing Normal University(Natural Science),2014,31( 5 ):18-25.) was modified to satisfy condition E. Then, an important property of condition E₁ was obtained. Based on this property and the results of density, two characterizations of D-semi-preinvexity were established by means of D-semi-strict semi-prequasiinvexity and D-strict semi-prequasiinvexity, respectivley. In the end,D-semi-preinvexity was characterized with D-semi-prequasiinvexity.
- D-semi-preinvexity,
- D-semi-strict semi-prequasiinvexity,
- D-strict semi-prequasiinvexity,
- D-semi-prequasiinvexity

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References(12)

References

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