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Operations Research Transactions ›› 2012, Vol. 16 ›› Issue (1): 49-55.

• Original Articles • Previous Articles     Next Articles

On Properties of Quasi-semi-(E,F)-Convex Functions and Convex Programming

 JIAN  Jin-Bao1, HU  Qing-Juan1, MA  Peng-Fei1, LI  Jian-Ling1   

  1. 1. College of Mathematics and Information Science, Guangxi University, 530004, Nanning, China
  • Online:2012-03-15 Published:2012-03-15
  • Supported by:

    This work is supported by The National Science Foundation of  China (No. 71061002);  Guangxi NSF 2011GXNSFD018022; Guangxi University Graduate Innovative Research funds T32576.

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Abstract: In 2004, Jian, Hu and Tang et al (Int. J. Pure Appl. Math., 2004, 14(4): 439-454) introduced the concept of quasi-semi-(E,F)-convex functions. In this paper, some important properties of quasi-semi-(E,F)-convex function and the associated quasi-semi-(E,F)-convex programming are further discussed. As a result,  some important results for this generalized convexity are established.

Key words: (E,F)-convex set, (E,F)-convex function, quasi-semi-(E,F)-convex function, quasi-semi-(E,F)-convex programming