Research Article

Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces

Volume: 28 Number: 4 December 16, 2015
EN

Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces

Abstract

The intent of this paper is to introduce the concept of G_b-cone metric space and we give some properties about this space. Further, we establish some fixed point theorems in -cone metric spaces. Moreover, some examples are provided to illustrate the usability of the obtained results

Keywords

References

  1. B. C. Dhage, “Generalized metric space and mapping with fixed point,” Bulletin of Calcutta Mathematical Society, vol. 84, pp. 329–336, 1992.
  2. B. C. Dhage, “On generalized metric spaces and topological structure. II,” Pure and Applied Mathematika Sciences, vol. 40, no. 1-2, pp. 37–41, 1994.
  3. B. C. Dhage, “A common fixed point principle in D-metric spaces,” Bulletin of the Calcutta Mathematical Society, vol. 91, no. 6, pp. 475–480, 1999.
  4. B. C. Dhage “Generalized metric spaces and topological structure. I,” Annalele Stintificeale Universitatii Al.I. Cuza, vol. 46, no. 1, pp. 3–24, 2000.
  5. Z. Mustafa and B. Sims, “Some remarks concerning D-metric spaces,” in Proceedings of the International Conference on Fixed Point Theory and Applications, pp. 189–198, Yokohama, Japan, 2004.
  6. Z. Mustafa and B. Sims, “A new approach to generalized metric spaces,” Journal of Nonlinear and Convex Analysis, vol. 7, no. 2, pp. 289–297, 2006.
  7. M. Abbas and B. E. Rhoades, “Common fixed point results for non commuting mappings without continuity in generalized metric spaces,” Applied Mathematics and Computation, vol. 215, no. 1, pp. 262–269, 2009.
  8. H. Aydi, W. Shatanawi, and C. Vetro, “On generalized weakly G-contraction mapping in G-metric spaces,” Computers & Mathematics with Applications, vol. 62, pp. 4222–4229, 2011.

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Authors

R.d. Daheriya This is me

Publication Date

December 16, 2015

Submission Date

March 22, 2015

Acceptance Date

-

Published in Issue

Year 2015 Volume: 28 Number: 4

APA
Ughade, M., & Daheriya, R. (2015). Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces. Gazi University Journal of Science, 28(4), 659-673. https://izlik.org/JA44FU49SL
AMA
1.Ughade M, Daheriya R. Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces. Gazi University Journal of Science. 2015;28(4):659-673. https://izlik.org/JA44FU49SL
Chicago
Ughade, Manoj, and R.d. Daheriya. 2015. “Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces”. Gazi University Journal of Science 28 (4): 659-73. https://izlik.org/JA44FU49SL.
EndNote
Ughade M, Daheriya R (December 1, 2015) Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces. Gazi University Journal of Science 28 4 659–673.
IEEE
[1]M. Ughade and R. Daheriya, “Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces”, Gazi University Journal of Science, vol. 28, no. 4, pp. 659–673, Dec. 2015, [Online]. Available: https://izlik.org/JA44FU49SL
ISNAD
Ughade, Manoj - Daheriya, R.d. “Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces”. Gazi University Journal of Science 28/4 (December 1, 2015): 659-673. https://izlik.org/JA44FU49SL.
JAMA
1.Ughade M, Daheriya R. Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces. Gazi University Journal of Science. 2015;28:659–673.
MLA
Ughade, Manoj, and R.d. Daheriya. “Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces”. Gazi University Journal of Science, vol. 28, no. 4, Dec. 2015, pp. 659-73, https://izlik.org/JA44FU49SL.
Vancouver
1.Manoj Ughade, R.d. Daheriya. Fixed Point and Common Fixed Point Results for Contraction Mappings in Gb - Cone Metric Spaces. Gazi University Journal of Science [Internet]. 2015 Dec. 1;28(4):659-73. Available from: https://izlik.org/JA44FU49SL