Common fixed point results for α-ψ-contractions on a metric space endowed with graph

被引：38
作者：
Hussain, Nawab [1 ,2 ]
Arshad, Muhammad [3 ]
Shoaib, Abdullah [3 ]
Fahimuddin [3 ]
机构：
[1] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia
[2] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia
[3] Int Islamic Univ, Dept Math, Islamabad 44000, Pakistan
来源：
JOURNAL OF INEQUALITIES AND APPLICATIONS | 2014年
关键词：
common fixed point; complete dislocated metric space; alpha-psi-contractive mappings; psi-graphic contractions; closed ball; THEOREMS; MAPPINGS; KRASNOSELSKII;
D O I：
10.1186/1029-242X-2014-136
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Abdeljawad (Fixed Point Theory Appl., 2013:19) introduced the concept of alpha-admissible for a pair of mappings. More recently Salimi et al. [Fixed Point Theory Appl., 2013:151] modified the notion of alpha-psi-contractive mappings. In this paper we introduce the concept of an alpha-admissible map with respect to eta and modify the alpha-psi-contractive condition for a pair of mappings and establish common fixed point results for two, three, and four mappings in a closed ball in complete dislocated metric spaces. As an application, we derive some new common fixed point theorems for psi-graphic contractions defined on dislocated metric space endowed with a graph as well as preordered dislocated metric space. Some comparative examples are constructed which illustrate the superiority of our results to the existing ones in the literature.
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页数：14
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