Title
On approximate starshapedness in multiobjective optimization
Abstract
AbstractIn this paper, we give the vector versions of the concepts of approximate starshapedness, equi-subdifferentiability and pseudo-equi-subdifferentiability and establish relationships among approximate vector starshapedness, vector-equi-subdifferentiability and vector-pseudo-equi-subdifferentiability. We extend the concept of ε-quasi-efficient solutions in the context of multiobjective optimization problems involving approximately starshaped functions and use approximate vector variational inequalities of Stampacchia and Minty type in terms of Fréchet subdifferentials to characterize approximate efficient solutions.
Year
DOI
Venue
2016
10.1080/10556788.2015.1064917
Periodicals
Keywords
Field
DocType
multiobjective optimization problems,approximate starshapedness,Frechet subdifferentials,vector variational inequalities,approximate efficiency,equi-subdifferentiability,90C26,90C29,90C30,49J40,49J50,49J52
Mathematical optimization,Multi-objective optimization,Multiobjective optimization problem,Mathematics,Variational inequality
Journal
Volume
Issue
ISSN
31
2
1055-6788
Citations 
PageRank 
References 
0
0.34
8
Authors
3
Name
Order
Citations
PageRank
Bader Al-Shamary121.08
S. K. Mishra2288.44
Vivek Laha3153.39