Fixed points for \(\varphi _{E}\)-Geraghty contractions


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.


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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


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