Semi-prequasi-invex type multiobjective optimization and generalized fractional programming problems


Authors

Zai-Yun Peng - College of Mathematics and Statistics, Chongqing JiaoTong University, Chongqing 400074, P. R. China. Ke-Ke Li - School of Mathematical Sciences, Chongqing Normal University, Chongqing 401331, P. R. China. Jian-Ting Zhou - College of Civil Engineering, Chongqing JiaoTong University, Chongqing 400074, P. R. China.


Abstract

In this paper, we mainly discuss some applications of semi-prequasi-invex type functions for multiobjective optimization and generalized nonlinear programming problems. Some optimality results for semi- prequasi-invex type multiobjective optimization problem are given, then some optimality necessary conditions under directional derivative and saddle point theories in semi-prequasi-invex type nonlinear programming problem are derived. Moreover, some duality theorems for the generalized nonlinear fractional programming problem with semi-prequasi-invexity are also obtained. Our results improve the corresponding ones in the literature.


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ISRP Style

Zai-Yun Peng, Ke-Ke Li, Jian-Ting Zhou, Semi-prequasi-invex type multiobjective optimization and generalized fractional programming problems, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 12, 6142--6152

AMA Style

Peng Zai-Yun, Li Ke-Ke, Zhou Jian-Ting, Semi-prequasi-invex type multiobjective optimization and generalized fractional programming problems. J. Nonlinear Sci. Appl. (2016); 9(12):6142--6152

Chicago/Turabian Style

Peng, Zai-Yun, Li, Ke-Ke, Zhou, Jian-Ting. "Semi-prequasi-invex type multiobjective optimization and generalized fractional programming problems." Journal of Nonlinear Sciences and Applications, 9, no. 12 (2016): 6142--6152


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