Geodesic
Fixed point theorems for cyclic weak contractions in compact metric spaces
Harjani, Jackie1 ; López, Belén1 ; Sadarangani, Kishin1
1 Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain
Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 4, p. 279-284.

Voir la notice de l'article provenant de la source International Scientific Research Publications

The purpose of this paper is to present a fixed point theorem for cyclic weak contractions in compact metric spaces.
DOI : 10.22436/jnsa.006.04.05
Classification : 47H10
Keywords: Fixed point, weak contraction, cyclic representation.

Harjani, Jackie 1 ; López, Belén 1 ; Sadarangani, Kishin 1

1 Departamento de Matemáticas, Universidad de Las Palmas de Gran Canaria, Campus de Tafira Baja, 35017 Las Palmas de Gran Canaria, Spain 
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Harjani, Jackie; López, Belén; Sadarangani, Kishin. Fixed point theorems for cyclic weak contractions in compact metric spaces. Journal of nonlinear sciences and its applications, Tome 6 (2013) no. 4, p. 279-284. doi : 10.22436/jnsa.006.04.05. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.006.04.05/

[1] Alber, Ya. I.; Guerre-Delabriere, S. Principle of weakly contractive maps in Hilbert space, in: I. Gohberg, Yu. Lyubich (Eds), New Results in Operator Theory, Advances and Appl., Birkhauser. Verlag, Volume 98 (1997), pp. 7-22

[2] Caballero, J.; Harjani, J.; K. Sadarangani Uniqueness of positive solutions for a class of fourth-order boundary value problems, Abs. Appl. Anal., Article ID 543035, Volume 2011 (2011), pp. 1-13

[3] E. Karapinar Fixed point theory for cyclic weak \(\varphi\)-contraction, Appl. Math. Lett., Volume 24 (2011), pp. 822-825

[4] Pacurar, M.; I. A. Rus Fixed point theory for cyclic \(\varphi\)-contractions, Nonlinear Anal., Volume 72 (2010), pp. 1181-1187

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