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Fixed point results for {α, ξ}-expansive locally contractive mappings.

Authors :
Ahmad, Jamshaid
Al-Rawashdeh, Ahmed Saleh
Azam, Akbar
Source :
Journal of Inequalities & Applications. Sep2014, Vol. 2014, p1-10. 10p.
Publication Year :
2014

Abstract

We recall the concepts of {α, ξ}-contractive and α-admissible mappings on complete metric spaces to state related fixed point theorems. In this paper, we obtain some fixed point results for {α, ξ}-expansive locally contractive mappings in complete metric spaces. The contractiveness of the mapping is only on a closed ball instead of the whole space. Our results unify, generalize, and complement various well-known comparable results in the literature. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
10255834
Volume :
2014
Database :
Academic Search Index
Journal :
Journal of Inequalities & Applications
Publication Type :
Academic Journal
Accession number :
102093047
Full Text :
https://doi.org/10.1186/1029-242X-2014-364