Research Article

Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition

Volume: 29 Number: 1 March 21, 2016
EN

Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition

Abstract

In this article, we utilize the notion of $\Omega$-distance in the sense of Saadati et al [R. Saadati, S.M. Vaezpour, P. Vetro and B.E. Rhoades, Fixed point theorems in generalized partially ordered G-metric spaces, {\it Mathematical and Computer Modeling,} \textbf{52}, 797-801, 2010] to introduce and prove some fixed point results of self-mapping under contraction conditions of the form $\Omega$-Suzuki-contractions.

Keywords

References

  1. Mustafa, Z. and Sims, B., “A new approach to generalized metric spaces”, J. Nonlinear Convex Anal.,7, no. 2: 289-297, (2006).
  2. Abbas, M., Shatanawi, W. and Nazir, T., “Common coupled coincidence and coupled fixed point of C- contractive mappings in generalized metric spaces”, Thai Journal of Mathematics, 13 (2): 339-353 (2015).
  3. Gu, F. and Shatanawi, W., “Common fixed point for generalized weakly G-contraction mappings satisfying com- mon (E.A) property in G-metric spaces”, Fixed Point Theory and Applications, 2013:309, 1-15, (2013).
  4. Aydi, H., Shatanawi, W. and Vetro, G., “On generalized weakly G-contraction mapping in G- metric spaces”, Comput.Math. Appl., 62:4222– 4229, (2011).
  5. Mustafa, Z. and Sims, B., “Fixed Point Theorems for contractive Mappings in Complete G-Metric Spaces”, Fixed Point Theory Appl., Hindawi Publishing Corporation, ID 917175, 10 pages, (2009).
  6. Mustafa, Z., Obedat, H. and Awawdeh, F., “Some fixed point theorems for mapping on complete G- metric spaces”, Fixed Point Theory and Applications, 2008, Artcle ID 189870, 12 pages, (2008).
  7. Mustafa, Z., Shatanawi, W. and Bataineh, M., “Existence of fixed point results in G-metric spaces”, International Jornal of Mathematics and Mathematical Sciences, Artcle ID 283028, 10 pages, (2009).
  8. Shatanawi, W., Chauhan, S.,Postolache, M., Abbas, M. and Radenovic, S., “Common fixed points for contractive mappings of integral type in G-metric space”, J. Adv. Math. Stud., 6(1): 53–72, (2013).

Details

Primary Language

English

Subjects

Engineering

Journal Section

Research Article

Publication Date

March 21, 2016

Submission Date

January 2, 2016

Acceptance Date

-

Published in Issue

Year 2016 Volume: 29 Number: 1

APA
Shatanawi, W. A., K. Abodaye, K., & Bataihah, A. (2016). Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition. Gazi University Journal of Science, 29(1), 129-133. https://izlik.org/JA68UC75CX
AMA
1.Shatanawi WA, K. Abodaye K, Bataihah A. Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition. Gazi University Journal of Science. 2016;29(1):129-133. https://izlik.org/JA68UC75CX
Chicago
Shatanawi, Wasfi Ahmed, Kamal K. Abodaye, and Anwer Bataihah. 2016. “Fixed Point Theorem Through Ω-Distance of Suzuki Type Contraction Condition”. Gazi University Journal of Science 29 (1): 129-33. https://izlik.org/JA68UC75CX.
EndNote
Shatanawi WA, K. Abodaye K, Bataihah A (March 1, 2016) Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition. Gazi University Journal of Science 29 1 129–133.
IEEE
[1]W. A. Shatanawi, K. K. Abodaye, and A. Bataihah, “Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition”, Gazi University Journal of Science, vol. 29, no. 1, pp. 129–133, Mar. 2016, [Online]. Available: https://izlik.org/JA68UC75CX
ISNAD
Shatanawi, Wasfi Ahmed - K. Abodaye, Kamal - Bataihah, Anwer. “Fixed Point Theorem Through Ω-Distance of Suzuki Type Contraction Condition”. Gazi University Journal of Science 29/1 (March 1, 2016): 129-133. https://izlik.org/JA68UC75CX.
JAMA
1.Shatanawi WA, K. Abodaye K, Bataihah A. Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition. Gazi University Journal of Science. 2016;29:129–133.
MLA
Shatanawi, Wasfi Ahmed, et al. “Fixed Point Theorem Through Ω-Distance of Suzuki Type Contraction Condition”. Gazi University Journal of Science, vol. 29, no. 1, Mar. 2016, pp. 129-33, https://izlik.org/JA68UC75CX.
Vancouver
1.Wasfi Ahmed Shatanawi, Kamal K. Abodaye, Anwer Bataihah. Fixed Point Theorem Through Ω-distance of Suzuki Type Contraction Condition. Gazi University Journal of Science [Internet]. 2016 Mar. 1;29(1):129-33. Available from: https://izlik.org/JA68UC75CX