Semi E h -b-preinvexity and its applications to optimization problems

2nd International Scientific Conference (Pure Sciences, Brilliant Creativity and Renewed Building)

Majeed, S.N.^1 ; Enad, A.A.^1

Department of Mathematics, College of Education for Pure Sciences (Ibn AL-Haitham), University of Baghdad, Baghdad, Iraq^1

关键词: ITS applications;    New functions;    Non-linear optimization problems;    Optimality;    Optimization problems;    Preinvexity;   

Others  :  https://iopscience.iop.org/article/10.1088/1757-899X/571/1/012025/pdf
DOI  :  10.1088/1757-899X/571/1/012025

来源: IOP

【 摘 要 】

In this paper, the class of semi E h-b-preinvex and pseudo E h-b-preinvex functions are defined as an extension of E-B-preinvex and h-preinvex functions. In this extension the functions E:Rn → Rn, h: [0,1] → , and b:n × n × [0,1] → + are taken into consideration. Various properties for the new functions as well as some properties and characterizations of quasi semi E-preinvex functions are discussed. Some optimality properties for semi E h-b-preinvex nonlinear optimization problems are proved.