TY - JOUR AU - Shatanawi, Wasfi AU - Bataihah, Anwar AU - Pitea, Ariana PY - 2016 TI - Fixed and common fixed point results for cyclic mappings of \(\Omega\)-distance JO - Journal of Nonlinear Sciences and Applications SP - 727--735 VL - 9 IS - 3 AB - 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. SN - ISSN 2008-1901 UR - http://dx.doi.org/10.22436/jnsa.009.03.02 DO - 10.22436/jnsa.009.03.02 ID - Shatanawi2016 ER -