Some Common Fixed Point Theorems in 0-σ-Complete Metric-Like Spaces

被引:36
作者
Shukla S. [1 ]
Radenović S. [2 ]
Rajić V.Ć. [3 ]
机构
[1] Department of Applied Mathematics, Shri Vaishnav Institute of Technology and Science, Indore, M.P., 453331, Gram Baroli Sanwer Road
[2] University of Belgrade, 11120 Beograd
[3] University of Belgrade, 11 000 Beograd
关键词
Common fixed point; Metric-like space; Partial metric space;
D O I
10.1007/s10013-013-0028-0
中图分类号
学科分类号
摘要
In this paper, we introduce the notion of 0-σ-complete metric-like space and prove some common fixed point theorems in such spaces. Our results unify and generalize several well-known results in the literature and the recent result of Amini-Harandi [Fixed Point Theory Appl. 2012:204, 2012]. Some examples are included which show that the generalization is proper. © 2013 The Author(s).
引用
收藏
页码:341 / 352
页数:11
相关论文
共 31 条
[1]  
Abbas M., Jungck J., Common fixed point results for noncommuting mappings without continuity in cone metric spaces, J. Math. Anal. Appl., 341, pp. 416-420, (2008)
[2]  
Abdeljawad T., Fixed points of generalized weakly contractive mappings in partial metric spaces, Math. Comput. Model., 54, pp. 2923-2927, (2011)
[3]  
Abdeljawad T., Karapinar E., Tas K., Existence and uniqueness of a common fixed point on partial metric spaces, Appl. Math. Lett., 24, pp. 1900-1904, (2011)
[4]  
Ahmad A.G.B., Fadail Z.M., Rajic V.C., Radenovic S., Nonlinear contractions in 0-complete partial metric spaces, Abstr. Appl. Anal., 2012, (2012)
[5]  
Altun I., Erduran A., Fixed point theorems for monotone mappings on partial metric spaces, Fixed Point Theory Appl., 2011, (2011)
[6]  
Altun I., Sola F., Simsek H., Generalized contractions on partial metric spaces, Topol. Appl., 157, pp. 2778-2785, (2010)
[7]  
Amini-Harandi A., Metric-like spaces, partial metric spaces and fixed points, Fixed Point Theory Appl., 2012, (2012)
[8]  
Aydi H., Fixed point results for weakly contractive mappings in ordered partial metric spaces, J. Adv. Math. Stud., 4, pp. 1-12, (2011)
[9]  
Aydi H., Fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces, J. Nonlinear Anal. Optim., 2, pp. 269-284, (2011)
[10]  
Aydi H., Some coupled fixed point results on partial metric spaces, Int. J. Math. Math. Sci., 2011, (2011)