| Issue |
RAIRO-Oper. Res.
Volume 51, Number 1, January-March 2017
|
|
|---|---|---|
| Page(s) | 211 - 225 | |
| DOI | https://doi.org/10.1051/ro/2016017 | |
| Published online | 20 January 2017 | |
Multiobjective variational problems and generalized vector variational-type inequalities∗
Department of Applied Mathematics, Indian School of Mines, Dhanbad - 826 004, Jharkhand, India.
anurag_jais123@yahoo.com; shiprasingh384@gmail.com
Received: 7 July 2015
Accepted: 18 February 2016
The purpose of this paper is to generalize the vector variational-type inequalities, formulated by Kim [J. Appl. Math. Comput. 16 (2004) 279–287], by setting the norms into Minty and Stampacchia forms. We also demonstrate the relationships between these generalized inequalities and multiobjective variational problems, by using the notions of strongly convex functionals. The theoretical developments are illustrated through numerical examples.
Mathematics Subject Classification: 90C30 / 90C29 / 49J40
Key words: Multiobjective variational problem / generalized Minty vector variational-type inequality / generalized Stampacchia vector variational-type inequality / strongly convex functional / strongly preconvex functional
© EDP Sciences, ROADEF, SMAI 2017
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