Open AccessStrongly and Semi Strongly E_h-b-Vex Functions: Applications to Optimization Problems
Author(s) -
Saba Naser Majeed
Publication year - 2019
Publication title -
iraqi journal of science
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.152
H-Index - 4
eISSN - 2312-1637
pISSN - 0067-2904
DOI - 10.24996/ijs.2019.60.9.16
Subject(s) - mathematical optimization , mathematics , optimization problem , convex optimization , function (biology) , nonlinear programming , convex function , nonlinear system , regular polygon , physics , geometry , biology , quantum mechanics , evolutionary biology
In this paper, we propose new types of non-convex functions called strongly --vex functions and semi strongly --vex functions. We study some properties of these proposed functions. As an application of these functions in optimization problems, we discuss some optimality properties of the generalized nonlinear optimization problem for which we use, as an objective function, strongly --vex function and semi strongly --vex function.