Title
On Approximately Star-Shaped Functions and Approximate Vector Variational Inequalities.
Abstract
In this paper, we consider a vector optimization problem involving approximately star-shaped functions. We formulate approximate vector variational inequalities in terms of Fréchet subdifferentials and solve the vector optimization problem. Under the assumptions of approximately straight functions, we establish necessary and sufficient conditions for a solution of approximate vector variational inequality to be an approximate efficient solution of the vector optimization problem. We also consider the corresponding weak versions of the approximate vector variational inequalities and establish various results for approximate weak efficient solutions.
Year
DOI
Venue
2013
10.1007/s10957-012-0124-4
J. Optimization Theory and Applications
Keywords
DocType
Volume
Approximately star-shaped functions, Fréchet subdifferentials, Approximate vector variational inequalities, Approximate efficient solutions, Approximately straight functions
Journal
156
Issue
ISSN
Citations 
2
1573-2878
6
PageRank 
References 
Authors
1.06
7
2
Name
Order
Citations
PageRank
S. K. Mishra1288.44
Vivek Laha2153.39