Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras
Joint Authors
Source
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-05-15
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
The fixed point theorems for one mapping and the common fixed point theorems for two mappings satisfying generalized Lipschitz conditions are obtained, without appealing to continuity for mappings or normality for cone in the conditions.
Furthermore, we not only get the existence of the fixed point but also get the uniqueness.
These results greatly improve and generalize several well-known comparable results in the literature.
Moreover, example is given to support our new results.
American Psychological Association (APA)
Han, Yan& Xu, Shaoyuan. 2018. Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras. Journal of Function Spaces،Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186561
Modern Language Association (MLA)
Han, Yan& Xu, Shaoyuan. Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras. Journal of Function Spaces No. 2018 (2018), pp.1-10.
https://search.emarefa.net/detail/BIM-1186561
American Medical Association (AMA)
Han, Yan& Xu, Shaoyuan. Some New Theorems on c-Distance without Continuity in Cone Metric Spaces over Banach Algebras. Journal of Function Spaces. 2018. Vol. 2018, no. 2018, pp.1-10.
https://search.emarefa.net/detail/BIM-1186561
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1186561