Title
On nonsmooth V-invexity and vector variational-like inequalities in terms of the Michel-Penot subdifferentials.
Abstract
In this paper, we establish some results which exhibit an application for Michel–Penot subdifferential in nonsmooth vector optimization problems and vector variational-like inequalities. We formulate vector variational-like inequalities of Stampacchia and Minty type in terms of the Michel–Penot subdifferentials and use these variational-like inequalities as a tool to solve the vector optimization problem involving nonsmooth V-invex function. We also consider the corresponding weak versions of the vector variational-like inequalities and establish various results for the weak efficient solutions.
Year
DOI
Venue
2014
10.1007/s11590-013-0707-5
Optimization Letters
Keywords
Field
DocType
Michel–Penot subdifferential, Generalized convexity, Nonsmooth optimization, Efficient solution, Vector variational inequalities
Applied mathematics,Mathematical optimization,Vector optimization,Subderivative,Mathematics
Journal
Volume
Issue
ISSN
8
5
1862-4480
Citations 
PageRank 
References 
2
0.40
8
Authors
3
Name
Order
Citations
PageRank
Vivek Laha1153.39
Bader Al-Shamary221.08
S. K. Mishra3288.44