D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射

王海英; 符祖峰

doi:10.21656/1000-0887.390143

D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射

doi: 10.21656/1000-0887.390143

安顺学院数理学院, 贵州安顺 561000

基金项目: 国家自然科学基金(61304146);贵州省科技厅、安顺市人民政府、安顺学院三方联合科技基金(LH[2017]7052)

详细信息

作者简介:
王海英（1982—），女，教授，硕士（通讯作者. Email: why8206@163.com）.

中图分类号: O211.6
计量
- 文章访问数: 961
- HTML全文浏览量: 130
- PDF下载量: 426
- 被引次数: 0
出版历程
- 收稿日期: 2018-05-10
- 修回日期: 2018-06-15
- 刊出日期: 2019-03-01

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

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

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

摘要

摘要: 研究了D-η-E-半预不变凸映射和D-η-E-半预不变真拟凸映射的一些性质.首先，讨论了D-η-E-半预不变凸与D-η-E-严格半预不变真拟凸、D-η-E-半严格半预不变真拟凸和D-η-E-半预不变真拟凸之间的关系,在中间点的D-η-E-半预不变凸性和其他一些条件下，得到了它的3个重要的性质定理；其次，对D-η-E-半预不变真拟凸与D-η-E-半严格半预不变真拟凸和D-η-E-严格半预不变真拟凸之间的关系也进行了讨论；最后，获得了D-η-E-半预不变真拟凸映射在优化中的一个重要应用.
- D-η-E-半预不变凸 /
- D-η-E-半预不变真拟凸 /
- D-η-E-半严格半预不变真拟凸 /
- 优化
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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参考文献(15)

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