Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems
Author
Source
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-17, 17 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-09-29
Country of Publication
Egypt
No. of Pages
17
Main Subjects
Abstract EN
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.
American Psychological Association (APA)
Du, Wei-Shih. 2011. Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems. Abstract and Applied Analysis،Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-457076
Modern Language Association (MLA)
Du, Wei-Shih. Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems. Abstract and Applied Analysis No. 2011 (2011), pp.1-17.
https://search.emarefa.net/detail/BIM-457076
American Medical Association (AMA)
Du, Wei-Shih. Applications of an HIDS Theorem to the Existence of Fixed Point, Abstract Equilibria and Optimization Problems. Abstract and Applied Analysis. 2011. Vol. 2011, no. 2011, pp.1-17.
https://search.emarefa.net/detail/BIM-457076
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-457076