Title :
B-vex functions and the properties of B-vex programming
Author :
Yu, Xian-Wei ; Wang, Zhi-Fu ; Liu, Xiao-Gang ; Zhu, Liang-Kuan
Author_Institution :
Dept. of Mathematics, Jingzhou Teacher´´s Coll., China
Abstract :
In this paper, based on B-vex function, which did Bector and Singh introduce in paper [1999], a sufficient condition that B-vex functions are vex function is set up. In the meantime, the properties of the nonlinear programming problem whose objective functions and constrained functions are all B-vex functions are discussed, and the relevant results are given.
Keywords :
functions; nonlinear programming; set theory; B-vex function; B-vex programming; constrained function; nonlinear programming; objective function; Cybernetics; Educational institutions; Electronic mail; Functional programming; Level set; Machine learning; Mathematics; Sufficient conditions;
Conference_Titel :
Machine Learning and Cybernetics, 2003 International Conference on
Print_ISBN :
0-7803-8131-9
DOI :
10.1109/ICMLC.2003.1264513
