Characterizations of E-Borwein Properly Efficient Solutions

TANG Li-ping; YANG Yu-hong

doi:10.21656/1000-0887.380238

Volume 38 Issue 12

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TANG Li-ping, YANG Yu-hong. Characterizations of E-Borwein Properly Efficient Solutions[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1399-1404. doi: 10.21656/1000-0887.380238

Citation:

TANG Li-ping, YANG Yu-hong. Characterizations of E-Borwein Properly Efficient Solutions[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1399-1404. doi: 10.21656/1000-0887.380238

Citation:

TANG Li-ping, YANG Yu-hong. Characterizations of E-Borwein Properly Efficient Solutions[J]. Applied Mathematics and Mechanics, 2017, 38(12): 1399-1404. doi: 10.21656/1000-0887.380238

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Characterizations of E-Borwein Properly Efficient Solutions

doi: 10.21656/1000-0887.380238

TANG Li-ping¹,
YANG Yu-hong^2,3

¹College of Mathematics and Statistics, Chongqing Technology and Business University, Chongqing 400067, P.R.China;²School of Mathematical Sciences,Inner Mongolia University, Hohhot 010021, P.R.China;³School of Mathematics and Statistics, Yangtze Normal University,Chongqing 408100, P.R.China

Funds: The National Natural Science Foundation of China(11431004; 11626048; 11701057)

Received Date: 2017-08-24
Rev Recd Date: 2017-10-10
Publish Date: 2017-12-15

Abstract

Abstract

Based on the idea of Borwein properly efficient solutions, a new concept of approximate Borwein properly efficient solutions for vector optimization problems was proposed via free disposal sets. Equivalent relations were established between the approximate Borwein properly efficient solutions and the E-Benson properly efficient solutions.
- vector optimization problem,
- free disposal set,
- E-Borwein properly efficient solution,
- E-Benson properly efficient solution

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References(17)

References

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