Semistrict-<em>G</em>-Semi-preinvexity and Optimization

PENG Zai-yun; LI Yong-hong

doi:10.3879/j.issn.1000-0887.2013.08.007

Volume 34 Issue 8

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PENG Zai-yun, LI Yong-hong. Semistrict-G-Semi-preinvexity and Optimization[J]. Applied Mathematics and Mechanics, 2013, 34(8): 836-845. doi: 10.3879/j.issn.1000-0887.2013.08.007

Citation:

PENG Zai-yun, LI Yong-hong. Semistrict-G-Semi-preinvexity and Optimization[J]. Applied Mathematics and Mechanics, 2013, 34(8): 836-845. doi: 10.3879/j.issn.1000-0887.2013.08.007

Citation:

PENG Zai-yun, LI Yong-hong. Semistrict-G-Semi-preinvexity and Optimization[J]. Applied Mathematics and Mechanics, 2013, 34(8): 836-845. doi: 10.3879/j.issn.1000-0887.2013.08.007

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Semistrict-G-Semi-preinvexity and Optimization

doi: 10.3879/j.issn.1000-0887.2013.08.007

School of Science, Chongqing Jiaotong University, Chongqing 400074, P.R.China

Received Date: 2013-05-07
Rev Recd Date: 2013-05-28
Publish Date: 2013-08-15

Abstract

Abstract

A class of new generalized convex function——semistrict-G-semi-preinvex functions is given.It is an important class of generalized convex function. It is a true generalization of semistrict preinvex functions and semistrict-G-preinvex functions. First, an example was given to show that there exist semistrict-G-semi-preinvex functions. At the same time, examples were given to show that the semistrict-G-semi-preinvex functions were different from G-semi-preinvex functions. Then, some properties of the semistrict-G-semi-preinvex functions were discussed. Finally, some optimality results were obtained in nonlinear programming problems without constraint and with inequality constraint, and examples were given for illustration of the corresponding results.
- semi-connected set,
- semistrict-G-semi-preinvex function,
- nonlinear programming,
- feasible set

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References(14)

References

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