TY - JOUR
T1 - Fixed point results for [InlineEquation not available
T2 - see fulltext.]-expansive locally contractive mappings
AU - Ahmad, Jamshaid
AU - Al-Rawashdeh, Ahmed Saleh
AU - Azam, Akbar
N1 - Publisher Copyright:
© 2014, Ahmad et al.; licensee Springer.
PY - 2014
Y1 - 2014
N2 - We recall the concepts of [InlineEquation not available: see fulltext.]-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 [InlineEquation not available: see fulltext.]-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.
AB - We recall the concepts of [InlineEquation not available: see fulltext.]-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 [InlineEquation not available: see fulltext.]-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.
KW - closed ball
KW - expansive mapping
KW - fixed point
KW - α-admissible
UR - http://www.scopus.com/inward/record.url?scp=84925013052&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84925013052&partnerID=8YFLogxK
U2 - 10.1186/1029-242X-2014-364
DO - 10.1186/1029-242X-2014-364
M3 - Article
AN - SCOPUS:84925013052
SN - 1025-5834
VL - 2014
JO - Journal of Inequalities and Applications
JF - Journal of Inequalities and Applications
IS - 1
M1 - 364
ER -