Fixed point theorems for Ciric type generalized contractions defined on cyclic representations
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Authors
Adrian Magdas
- Faculty of Mathematics and Computer Science, Babeş-Bolyai University, Kogalniceanu Street, No. 1, 400084 Cluj-Napoca, Romania.
Abstract
The purpose of this paper is to investigate the properties of some Ćirić type generalized contractions defined
on cyclic representations in a metric space.
Share and Cite
ISRP Style
Adrian Magdas, Fixed point theorems for Ciric type generalized contractions defined on cyclic representations, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 6, 1257--1264
AMA Style
Magdas Adrian, Fixed point theorems for Ciric type generalized contractions defined on cyclic representations. J. Nonlinear Sci. Appl. (2015); 8(6):1257--1264
Chicago/Turabian Style
Magdas, Adrian. "Fixed point theorems for Ciric type generalized contractions defined on cyclic representations." Journal of Nonlinear Sciences and Applications, 8, no. 6 (2015): 1257--1264
Keywords
- Fixed point
- cyclic representation
- Ćirić contraction
- cyclic \(\varphi\)-contraction of Ćirić type
MSC
References
-
[1]
V. Berinde, Contracţii generalizate şi aplicaţii, Editura Cub Press, Baia Mare (1997)
-
[2]
W. A. Kirk, P. S. Srinivasan, P. Veeramani , Fixed points for mappings satisfying cyclical contractive conditions, Fixed Point Theory, 4 (2003), 79-89.
-
[3]
M. Păcurar, I. A. Rus, Fixed point theory for cyclic \(\varphi\)-contractions, Nonlinear Anal., 72 (2010), 1181-1187.
-
[4]
M. A. Petric, Some results concerning cyclical contractive mappings, Gen. Math., 18 (2010), 213-226.
-
[5]
A. Petruşel , Ćirić type fixed point theorems, Stud. Univ. Babeş-Bolyai math., 59 (2014), 233-245.
-
[6]
B. E. Rhoades, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 226 (1977), 257-290.
-
[7]
I. A. Rus, Generalized contractions and applications, Cluj University Press, Cluj-Napoca (2001)
-
[8]
I. A. Rus, Cyclic representations and fixed points, Ann. T. Popoviciu Seminar Funct. Eq. Approx. Convexity, 3 (2005), 171-178.
-
[9]
I. A. Rus, A. Petruşel, G. Petruşel , Fixed Point Theory, Cluj University Press, (2008)
-
[10]
I. A. Rus, M. A. Şerban, Some generalizations of a Cauchy lemma and applications, Topics in Mathematics, Computer Science and Philosophy, Presa Univ. Clujean, Cluj-Napoca, (2008), 173-181.