A class of r-semipreinvex functions and optimality in nonlinear programming

作者：Zhao, Ke Quan^*; Liu, Xue Wen; Chen, Zhe

来源：Journal of Global Optimization, 2011, 49(1): 37-47.

DOI：10.1007/s10898-010-9532-x

• Semi-connected sets
• Semipreinvex functions
• r-Semipreinvex functions
• Optimality
• Nonlinear programming

In this paper, a class of functions, named as r-semipreinvex functions, which is generalization of semipreinvex functions and r-preinvex functions, is introduced. Example is given to show that there exists function which is r-semipreinvex function, but is not semipreinvex function. Furthermore, some basic characterizations of r-semipreinvex functions are established. At the same time, some optimality results are obtained in nonlinear programming problems.

• 出版日期2011-1
• 单位重庆师范大学