Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities
Joint Authors
al-Homidan, Suliman
Alshahrani, Mohammed
Ansari, Qamrul Hasan
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-7, 7 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-09-24
Country of Publication
Egypt
No. of Pages
7
Main Subjects
Abstract EN
We introduce nonsmooth vector quasi-variational-like inequalities (NVQVLI) by means of a bifunction.
We establish some existence results for solutions of these inequalities by using Fan-KKM theorem and a maximal element theorem.
By using the technique and methodology adopted in Al-Homidan et al.
(2012), one can easily derive the relations among these inequalities and a vector quasi-optimization problem.
Hence, the existence results for a solution of a vector quasi-optimization problem can be derived by using our results.
The results of this paper extend several known results in the literature.
American Psychological Association (APA)
Alshahrani, Mohammed& Ansari, Qamrul Hasan& al-Homidan, Suliman. 2013. Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-467260
Modern Language Association (MLA)
Alshahrani, Mohammed…[et al.]. Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities. Abstract and Applied Analysis No. 2013 (2013), pp.1-7.
https://search.emarefa.net/detail/BIM-467260
American Medical Association (AMA)
Alshahrani, Mohammed& Ansari, Qamrul Hasan& al-Homidan, Suliman. Existence Results for Nonsmooth Vector Quasi-Variational-Like Inequalities. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-7.
https://search.emarefa.net/detail/BIM-467260
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-467260
