Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces
Joint Authors
Zhu, Cheng Cheng
Wei, Lei
Zhu, Jiang
Cho, Yeol Je
Source
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-19, 19 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-05-17
Country of Publication
Egypt
No. of Pages
19
Main Subjects
Abstract EN
Some new vectorial Ekeland variational principles in cone quasi-uniform spaces are proved.
Some new equivalent principles, vectorial quasivariational inclusion principle, vectorial quasi-optimization principle, vectorial quasiequilibrium principle are obtained.
Also, several other important principles in nonlinear analysis are extended to cone quasi-uniform spaces.
The results of this paper extend, generalize, and improve the corresponding results for Ekeland's variational principles of the directed vectorial perturbation type and other generalizations of Ekeland's variational principles in the setting of F-type topological space and quasi-metric spaces in the literatures.
Even in usual real metric spaces, some of our results are new.
American Psychological Association (APA)
Zhu, Jiang& Wei, Lei& Cho, Yeol Je& Zhu, Cheng Cheng. 2012. Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces. Abstract and Applied Analysis،Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-462442
Modern Language Association (MLA)
Zhu, Jiang…[et al.]. Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces. Abstract and Applied Analysis No. 2012 (2012), pp.1-19.
https://search.emarefa.net/detail/BIM-462442
American Medical Association (AMA)
Zhu, Jiang& Wei, Lei& Cho, Yeol Je& Zhu, Cheng Cheng. Vectorial Ekeland Variational Principles and Inclusion Problems in Cone Quasi-Uniform Spaces. Abstract and Applied Analysis. 2012. Vol. 2012, no. 2012, pp.1-19.
https://search.emarefa.net/detail/BIM-462442
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-462442