A class of generalized invex functions and vector variational-like inequalities

In this paper, a class of generalized invex functions, called ( α , ρ , η ) -invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective pr...

Full description

Saved in:
Bibliographic Details
Published in:Journal of inequalities and applications 2017-04, Vol.2017 (1), p.1-14, Article 70
Main Authors: Li, Ru, Yu, Guolin
Format: Article
Language:English
Subjects:
Analysis
Applications of Mathematics
Existence theorems
Inequalities
invex function
KKM-Fan theorem
Mathematical programming
Mathematics
Mathematics and Statistics
multi-objective programming
Multiple objective
Texts
Theorems
vector variational-like inequality
Citations: Items that this one cites
Items that cite this one
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:In this paper, a class of generalized invex functions, called ( α , ρ , η ) -invex functions, is introduced, and some examples are presented to illustrate their existence. Then we consider the relationships of solutions between two types of vector variational-like inequalities and multi-objective programming problem. Finally, the existence results for the discussed variational-like inequalities are proposed by using the KKM-Fan theorem.
ISSN:1029-242X
1025-5834
1029-242X
DOI:10.1186/s13660-017-1345-8