TY - JOUR
T1 - New fixed point theorems for generalized F-contractions in complete metric spaces
AU - Ahmad, Jamshaid
AU - Al-Rawashdeh, Ahmed
AU - Azam, Akbar
N1 - Funding Information:
The authors thank the editors and the referees for their valuable comments and suggestions which improved greatly the quality of this paper. The second author (the corresponding one) acknowledges with thanks the Research Affairs at the UAEU for their financial support. This project is partially supported by the Research Affairs at UAEU, No. COS/IRG-14/13: 215070.
Publisher Copyright:
© 2015, Ahmad et al.
PY - 2015/12/9
Y1 - 2015/12/9
N2 - In this paper, owing to the concept of F-contraction, we define two new classes of functions M(S,T)$M(S,T)$ and N(S,T)$N(S,T)$, and we prove some new fixed point results for single-valued and multivalued mappings in complete metric spaces. Our results extend, generalize and unify several known results in the literature. We include an example to show that the generalization is proper.
AB - In this paper, owing to the concept of F-contraction, we define two new classes of functions M(S,T)$M(S,T)$ and N(S,T)$N(S,T)$, and we prove some new fixed point results for single-valued and multivalued mappings in complete metric spaces. Our results extend, generalize and unify several known results in the literature. We include an example to show that the generalization is proper.
KW - F-contractions
KW - fixed point
KW - metric space
KW - multivalued mappings
UR - http://www.scopus.com/inward/record.url?scp=84930646939&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=84930646939&partnerID=8YFLogxK
U2 - 10.1186/s13663-015-0333-2
DO - 10.1186/s13663-015-0333-2
M3 - Article
AN - SCOPUS:84930646939
SN - 1687-1820
VL - 2015
JO - Fixed Point Theory and Algorithms for Sciences and Engineering
JF - Fixed Point Theory and Algorithms for Sciences and Engineering
IS - 1
M1 - 80
ER -