Fixed points for \(\varphi _{E}\)-Geraghty contractions
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Authors
Andreea Fulga
- Department of Mathematics and Computer Sciences, Transilvania University of Brasov, Iuliu Maniu, 50, 505801, Brasov, Romania.
Alexandrina Maria Proca
- Department of Mathematics and Computer Sciences, Transilvania University of Brasov, Iuliu Maniu, 50, 505801, Brasov, Romania.
Abstract
In this paper, we introduce the new concept of a generalization of
contraction so-called \(\varphi _{E}\)-Geraghty contraction and we establish a
fixed point theorem for such mappings in complete metric spaces.
Share and Cite
ISRP Style
Andreea Fulga, Alexandrina Maria Proca, Fixed points for \(\varphi _{E}\)-Geraghty contractions, Journal of Nonlinear Sciences and Applications, 10 (2017), no. 9, 5125--5131
AMA Style
Fulga Andreea, Proca Alexandrina Maria, Fixed points for \(\varphi _{E}\)-Geraghty contractions. J. Nonlinear Sci. Appl. (2017); 10(9):5125--5131
Chicago/Turabian Style
Fulga, Andreea, Proca, Alexandrina Maria. "Fixed points for \(\varphi _{E}\)-Geraghty contractions." Journal of Nonlinear Sciences and Applications, 10, no. 9 (2017): 5125--5131
Keywords
- \(\varphi _{E}\)-Geraghty contractions mapping
- fixed point
- contraction
MSC
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