Research Article

Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces

Volume: 27 Number: 1 March 28, 2014
EN

Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces

Abstract

In this paper, we apply the concept of cyclic(φ ) -contraction for presenting a fixed point theorem on Hausdorff uniform space. Some more general results are also obtained in Hausdorff uniform space.

Keywords

References

  1. Aamri, M., Bennani, S., El Moutawakil, D., “Fixed points and variational principle in uniform spaces”, Siberian Electronic Mathematical Reports, 3: 137– 142 (2006).
  2. Aamri, M., El Moutawakil, D., “Common Fixed Point Theorems for E-contractive or E-expansive Maps in Uniform Spaces”, Acta Math. Acad. Paedagog. Nyh´azi (N.S.), 20(1): 83-91(2004).
  3. Berinde, V., “Iterative Approximation of Fixed Points”, Editura Efemeride, Baia Mare, (2002).
  4. Berinde, V., “Contractii Generalizate si Aplicatii”, vol. 22, Editura Cub Press, Baia Mare, (1997).
  5. Bourbaki, N., “´E l´ements de math´ematique. Fasc. II. Livre III: Topologie g´en´erale. Chapitre 1: Structures topologiques. Chapitre 2: Structures uni- formes”, Scientifiques et Industrielles, No. 1142, Hermann, Paris, (1965). ´edition., Actualit´es
  6. Jachymski, J., “Fixed Point Theorems for Expansive Mappings”, Math. Japon., 42(1):131-136(1995).
  7. Kada, O., Suzuki, T., Takahashi, W., “Nonconvex Minimization Theorems and Fixed Point Theorems in Complete Metric Spaces”, Math. Japon., 44(2): 381-391(1996).
  8. Karapnar, E., “Fixed point theory for cyclic weak φ-contraction”, Appl.Math. Lett., 24(6): 822-825 (2011).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

March 28, 2014

Submission Date

February 28, 2013

Acceptance Date

-

Published in Issue

Year 2014 Volume: 27 Number: 1

APA
Sedghı, S., Shobkolaeı, N., & Fırouzıan, S. (2014). Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces. Gazi University Journal of Science, 27(1), 653-658. https://izlik.org/JA32WZ77RN
AMA
1.Sedghı S, Shobkolaeı N, Fırouzıan S. Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces. Gazi University Journal of Science. 2014;27(1):653-658. https://izlik.org/JA32WZ77RN
Chicago
Sedghı, Shaban, Nabi Shobkolaeı, and S. Fırouzıan. 2014. “Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces”. Gazi University Journal of Science 27 (1): 653-58. https://izlik.org/JA32WZ77RN.
EndNote
Sedghı S, Shobkolaeı N, Fırouzıan S (March 1, 2014) Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces. Gazi University Journal of Science 27 1 653–658.
IEEE
[1]S. Sedghı, N. Shobkolaeı, and S. Fırouzıan, “Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces”, Gazi University Journal of Science, vol. 27, no. 1, pp. 653–658, Mar. 2014, [Online]. Available: https://izlik.org/JA32WZ77RN
ISNAD
Sedghı, Shaban - Shobkolaeı, Nabi - Fırouzıan, S. “Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces”. Gazi University Journal of Science 27/1 (March 1, 2014): 653-658. https://izlik.org/JA32WZ77RN.
JAMA
1.Sedghı S, Shobkolaeı N, Fırouzıan S. Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces. Gazi University Journal of Science. 2014;27:653–658.
MLA
Sedghı, Shaban, et al. “Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces”. Gazi University Journal of Science, vol. 27, no. 1, Mar. 2014, pp. 653-8, https://izlik.org/JA32WZ77RN.
Vancouver
1.Shaban Sedghı, Nabi Shobkolaeı, S. Fırouzıan. Fixed Point Theory for Cyclic(φ ) - Contractions in Uniform Spaces. Gazi University Journal of Science [Internet]. 2014 Mar. 1;27(1):653-8. Available from: https://izlik.org/JA32WZ77RN