Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems

Wei-Shih Du

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: By applying hybrid inclusion and disclusion systems (HIDS), we establish several vectorial variants of system of Ekeland′s variational principle on topological vector spaces, some existence theorems of system of parametric vectorial quasi‐equilibrium problem, and an existence theorem of system of the Stampacchia‐type vectorial equilibrium problem. As an application, a vectorial minimization theorem is also given. Moreover, we discuss some equivalence relations between our vectorial variant of Ekeland′s variational principle, common fixed point theorem, and maximal element theorem.

Date: 2011
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2011/247236

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:wly:jnlaaa:v:2011:y:2011:i:1:n:247236

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().