Open AccessSemi E h -b-preinvexity and its applications to optimization problems
Author(s) -
Saba Naser Majeed,
A. A. Enad
Publication year - 2019
Publication title -
iop conference series. materials science and engineering
Language(s) - English
Resource type - Journals
eISSN - 1757-899X
pISSN - 1757-8981
DOI - 10.1088/1757-899x/571/1/012025
Subject(s) - extension (predicate logic) , class (philosophy) , nonlinear system , mathematics , pure mathematics , computer science , physics , artificial intelligence , quantum mechanics , programming language
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 :ℝ n → ℝ n , h : [0,1] → ℝ, and b :ℝ n × ℝ n × [0,1] → ℝ + 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.