Characterizations and Applications of D-η-Semipreinvex Mappings

PENG Zai-yun; WANG Kun-ying; ZHAO Yong; ZHANG Shi-sheng

doi:10.3879/j.issn.1000-0887.2014.02.008

Volume 35 Issue 2

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PENG Zai-yun, WANG Kun-ying, ZHAO Yong, ZHANG Shi-sheng. Characterizations and Applications of D-η-Semipreinvex Mappings[J]. Applied Mathematics and Mechanics, 2014, 35(2): 202-211. doi: 10.3879/j.issn.1000-0887.2014.02.008

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Characterizations and Applications of D-η-Semipreinvex Mappings

doi: 10.3879/j.issn.1000-0887.2014.02.008

¹School of Science, Chongqing Jiaotong University, Chongqing 400074, P.R.China;²School of Mathematics Science, Chongqing Normal University, Chongqing 401331, P.R.China;³Department of Statistics and Mathematics,Yunnan University of Finance and Economics, Kunmin 650224, P.R.China

Funds: The National Natural Science Foundation of China(11271389; 11301571)

Received Date: 2013-07-16
Publish Date: 2014-02-15

Abstract

Abstract

A class of new vector valued generalized convex mappings—D-η-semipreinvex mappings, which was a true generalization of D-preinvex mapping, was given. Firstly, examples were given to show the existence of D-η-semipreinvexmappings and illustrate the differences between D-η-semistrictly semi-preinvex and D-η-semipreinv exmapping. Secondly, a criterion of D-η-semipreinv exity was given, and the relationships among D-η-semipreinvexity, D-η-strict semipreinvexity and D-η-semistrict semipreinvexity were discussed. Finally, an important application of D-η-semistrict semipreinvexity in vector optimization was discussed, then give an example was given to illustrate the result.
- D-&eta,
- -semipreinvex mappings,
- criterion,
- vector optimization,
- applications

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References(13)

References

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