Fixed and common fixed point results for cyclic mappings of \(\Omega\)-distance
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Authors
Wasfi Shatanawi
- Department of Mathematics, Faculty of Science, Hashemite University, Zarqa, Jordan.
Anwar Bataihah
- Department of Mathematics, Faculty of Science, Irbid National University, Zarqa, Jordan.
Ariana Pitea
- Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania.
Abstract
Jleli and Samet in [M. Jleli, B. Samet, Int. J. Anal., 2012 (2012), 7 pages] pointed out that some of fixed
point theorems in G-metric spaces can be derived from classical metric spaces. In this paper, we utilize the
concept of \(\Omega\)-distance in sense of Saadati et al. [R. Saadati, S. M. Vaezpour, P. Vetro, B. E. Rhoades, Math.
Comput. Modeling, 52 (2010), 797-801] to introduce new fixed point and common fixed point results for
mappings of cyclic form, through the concept of G-metric space in sense of Mustafa and Sims [ Z. Mustafa,
B. Sims, J. Nonlinear Convex Anal., 7 (2006), 289-297]. We underline that the method of Jleli and Samet
cannot be applied to our results.
Share and Cite
ISRP Style
Wasfi Shatanawi, Anwar Bataihah, Ariana Pitea, Fixed and common fixed point results for cyclic mappings of \(\Omega\)-distance, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 727--735
AMA Style
Shatanawi Wasfi, Bataihah Anwar, Pitea Ariana, Fixed and common fixed point results for cyclic mappings of \(\Omega\)-distance. J. Nonlinear Sci. Appl. (2016); 9(3):727--735
Chicago/Turabian Style
Shatanawi, Wasfi, Bataihah, Anwar, Pitea, Ariana. "Fixed and common fixed point results for cyclic mappings of \(\Omega\)-distance." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 727--735
Keywords
- Nonlinear contraction
- G-metric space
- common fixed point
- \(\Omega\)-distance.
MSC
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