Geodesic
Fixed and common fixed point results for cyclic mappings of $\Omega$-distance
Shatanawi, Wasfi1 ; Bataihah, Anwar2 ; Pitea, Ariana3
1 Department of Mathematics, Faculty of Science, Hashemite University, Zarqa, Jordan
2 Department of Mathematics, Faculty of Science, Irbid National University, Zarqa, Jordan
3 Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania
Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 727-735.

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

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.
DOI : 10.22436/jnsa.009.03.02
Classification : 47H10, 54H25
Keywords: Nonlinear contraction, G-metric space, common fixed point, \(\Omega\)-distance.

Shatanawi, Wasfi 1 ; Bataihah, Anwar 2 ; Pitea, Ariana 3

1 Department of Mathematics, Faculty of Science, Hashemite University, Zarqa, Jordan
2 Department of Mathematics, Faculty of Science, Irbid National University, Zarqa, Jordan
3 Department of Mathematics and Informatics, University Politehnica of Bucharest, Bucharest, 060042, Romania 
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Shatanawi, Wasfi; Bataihah, Anwar; Pitea, Ariana. Fixed and common fixed point results for cyclic mappings of \(\Omega\)-distance. Journal of nonlinear sciences and its applications, Tome 9 (2016) no. 3, p. 727-735. doi : 10.22436/jnsa.009.03.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.009.03.02/

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