The Existence of Cone Critical Point and Common Fixed Point with Applications
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2011, Issue 2011 (31 Dec. 2011), pp.1-22, 22 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2011-10-25
Country of Publication
Egypt
No. of Pages
22
Main Subjects
Abstract EN
We first establish some new critical point theorems for nonlinear dynamical systems in cone metric spaces or usual metric spaces, and then we present some applications to generalizations of Dancš-Hegedüs-Medvegyev's principle and the existence theorem related with Ekeland's variational principle, Caristi's common fixed point theorem for multivalued maps, Takahashi's nonconvex minimization theorem, and common fuzzy fixed point theorem.
We also obtain some fixed point theorems for weakly contractive maps in the setting of cone metric spaces and focus our research on the equivalence between scalar versions and vectorial versions of some results of fixed point and others.
American Psychological Association (APA)
Du, Wei-Shih. 2011. The Existence of Cone Critical Point and Common Fixed Point with Applications. Journal of Applied Mathematics،Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-513741
Modern Language Association (MLA)
Du, Wei-Shih. The Existence of Cone Critical Point and Common Fixed Point with Applications. Journal of Applied Mathematics No. 2011 (2011), pp.1-22.
https://search.emarefa.net/detail/BIM-513741
American Medical Association (AMA)
Du, Wei-Shih. The Existence of Cone Critical Point and Common Fixed Point with Applications. Journal of Applied Mathematics. 2011. Vol. 2011, no. 2011, pp.1-22.
https://search.emarefa.net/detail/BIM-513741
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-513741