Sufficient optimality criteria and duality for multiobjective variational control problems with $$G$$ G -type I objective and constraint functions

Tadeusz Antczak ()

Journal of Global Optimization, 2015, vol. 61, issue 4, 695-720

Abstract: In the paper, we introduce the concepts of $$G$$ G -type I and generalized $$G$$ G -type I functions for a new class of nonconvex multiobjective variational control problems. For such nonconvex vector optimization problems, we prove sufficient optimality conditions for weakly efficiency, efficiency and properly efficiency under assumptions that the functions constituting them are $$G$$ G -type I and/or generalized $$G$$ G -type I objective and constraint functions. Further, for the considered multiobjective variational control problem, its dual multiobjective variational control problem is given and several duality results are established under (generalized) $$G$$ G -type I objective and constraint functions. Copyright The Author(s) 2015

Keywords: Multiobjective variational problems; Properly efficient solution; G-type I objective and constraint functions; Optimality conditions; Duality (search for similar items in EconPapers)
Date: 2015
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

Downloads: (external link)
http://hdl.handle.net/10.1007/s10898-014-0203-1 (text/html)
Access to full text is restricted to subscribers.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:61:y:2015:i:4:p:695-720

Ordering information: This journal article can be ordered from
http://www.springer. ... search/journal/10898

DOI: 10.1007/s10898-014-0203-1

Access Statistics for this article

Journal of Global Optimization is currently edited by Sergiy Butenko

More articles in Journal of Global Optimization from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().