New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness
Author
Source
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-02-27
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Some new existence theorems concerning approximate coincidence point property and approximate fixed point property for nonlinear maps in metric spaces without global completeness are established in this paper.
By exploiting these results, we prove some new coincidence point and fixed point theorems which generalize and improve Berinde-Berinde's fixed point theorem, Mizoguchi-Takahashi's fixed point theorem, Kikkawa-Suzuki's fixed point theorem, and some well known results in the literature.
Moreover, some applications of our results to the existence of coupled coincidence point and coupled fixed point are also presented.
American Psychological Association (APA)
Du, Wei-Shih. 2013. New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness. Abstract and Applied Analysis،Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-455101
Modern Language Association (MLA)
Du, Wei-Shih. New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness. Abstract and Applied Analysis No. 2013 (2013), pp.1-12.
https://search.emarefa.net/detail/BIM-455101
American Medical Association (AMA)
Du, Wei-Shih. New Existence Results and Generalizations for Coincidence Points and Fixed Points without Global Completeness. Abstract and Applied Analysis. 2013. Vol. 2013, no. 2013, pp.1-12.
https://search.emarefa.net/detail/BIM-455101
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-455101