Fixed point results for α - ψ -locally graphic contraction in dislocated qusai metric spaces

被引：5
作者：
Arshad M. [1 ]
Fahimuddin [1 ]
Shoaib A. [1 ]
Hussain A. [1 ]
机构：
[1] Department of Mathematics, International Islamic University, Islamabad
来源：
Mathematical Sciences | 2014年 / 8卷 / 3期
关键词：
Closed ball; Complete dislocated quasi metric space; Fixed point; Left K -sequentially complete; α-ψ contractive mappings; ψ -graphic contractions;
D O I：
10.1007/s40096-014-0132-7
中图分类号：
学科分类号：
摘要：
In this paper, we have obtained fixed point results for α- ψ -locally contractive type mappings in a closed ball in left K-sequentially complete and in right K-sequentially complete dislocated quasi metric spaces. Moreover the mappings under consideration are α-admissible with respect to η. We have used conditions weaker than those of Samet et al. [Nonlinear Anal. 75:2154–2165, (2012)]. As an application, we have derived some new fixed point theorems for ψ -graphic contractions defined on dislocated quasi metric space endowed with a graph as well as ordered dislocated metric space. Some comparative examples are constructed which illustrate the superiority of our results. In the process we have generalized several well known, recent and classical results from the literature. © 2014, The Author(s).
引用
收藏
页码：79 / 85
页数：6
相关论文
共 37 条
[1]  
Abbas M., Nazir T., Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph, Fixed Point Theory and Appl., 2013, (2013)
[2]  
Agarwal R.P., El-Gebeily M.A., O'Regan D., Generalized contractions in partially ordered metric spaces, Appl. Anal., 87, pp. 109-116, (2008)
[3]  
Ali M.U., Kamran T., Shahzad N., Best proximity point for α - ψ -proximal contractive multimaps, Abstr, Appl. Anal., (2014)
[4]  
Ali M.U., Kamran T., Karapinar E., Fixed point of α - ψ -contractive type mappings in uniform spaces, Fixed Point Theory Appl., 2014, (2014)
[5]  
Arshad M., Azam A., Vetro P., Some common fixed point results in cone metric spaces, Fixed Point Theory Appl., (2009)
[6]  
Arshad M., Shoaib A., Abbas M., Azam A., Fixed points of a pair of Kannan type mappings on a closed ball in ordered partial metric spaces, Miskolc Mathematical Notes, 14, 3, pp. 769-784, (2013)
[7]  
Arshad M., Shoaib A., Beg I., Fixed point of a pair of contractive dominated mappings on a closed ball in an ordered complete dislocated metric space, Fixed Point Theory Appl, 2013, pp. 1-15, (2013)
[8]  
Arshad M., Shoaib A., Vetro P., Common Fixed Points Of A Pair Of Hardy Rogers Type Mappings On A Closed Ball In Ordered Dislocated Metric Spaces, J.Funct Spaces Appl, 9, (2013)
[9]  
Arshad M., Azam A., Abbas M., Shoaib A., Fixed point results of dominated mappings on a closed ball in ordered partial metric spaces without continuity, U.P.B. Sci. Bull., Series A, 76, 2, pp. 123-134, (2014)
[10]  
Azam A., Hussain S., Arshad M., Common fixed points of Chatterjea type fuzzy mappings on closed balls, Neural Computing & Applications, 21, pp. S313-S317, (2012)
1234