Fixed and common fixed point results for cyclic mappings of Ω-distance

被引：19
作者：
Shatanawi, Wasfi [1 ]
Bataihah, Anwar [2 ]
Pitea, Ariana [3 ]
机构：
[1] Hashemite Univ, Fac Sci, Dept Math, Zarqa, Jordan
[2] Irbid Natl Univ, Fac Sci, Dept Math, Zarqa, Jordan
[3] Univ Politehn Bucuresti, Dept Math & Informat, Bucharest 060042, Romania
来源：
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 03期
关键词：
Nonlinear contraction; G-metric space; common fixed point; Omega-distance; PROXIMITY POINT; CONVERGENCE; THEOREMS;
D O I：
10.22436/jnsa.009.03.02
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
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. (C)2016 All rights reserved.
引用
收藏
页码：727 / 735
页数：9
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