D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping

WANG Haiying; FU Zufeng

doi:10.21656/1000-0887.390143

Volume 40 Issue 3

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WANG Haiying, FU Zufeng. D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping[J]. Applied Mathematics and Mechanics, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143

Citation:

WANG Haiying, FU Zufeng. D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping[J]. Applied Mathematics and Mechanics, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143

Citation:

WANG Haiying, FU Zufeng. D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping[J]. Applied Mathematics and Mechanics, 2019, 40(3): 343-354. doi: 10.21656/1000-0887.390143

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D-η-E-Semi-Preinvex Mapping and D-η-E-Properly Semi-Prequasi-Invex Mapping

doi: 10.21656/1000-0887.390143

School of Mathematics and Physics, Anshun University, Anshun, Guizhou 561000, P.R.China

Funds: The National Natural Science Foundation of China(61304146)

Received Date: 2018-05-10
Rev Recd Date: 2018-06-15
Publish Date: 2019-03-01

Abstract

Abstract

Some properties of the D-η-E-semi-preinvex mapping and the D-η-E-properly semi-prequasi-invex mapping were studied. Firstly, relationships among the D-η-E-semi-preinvex mapping, the semistrictly semi-preinvex mapping, the strictly D-η-E-semi-preinvex mapping and the D-η-E-properly semi-prequasi-invex mapping were discussed. Three important theorems of properties were obtained based on the middle point D-η-E-semi-preinvex and some suitable conditions. Secondly, relationships among the D-η-E-properly semi-prequasi-invex mapping, the semistrictly D-η-E-properly semi-prequasi-invex mapping and the strictly D-η-E-properly semi-prequasi-invex mapping also were addressed. Finally, an important application in terms of the D-η-E-properly semi-prequasi-invex mapping was demonstrated in optimization.
- D-η-E-semi-preinvex,
- D-η-E-properly semi-prequasi-invex,
- semistrictly D-η-E-properly semi-prequasi-invex,
- optimization

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References(15)

References

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