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

被引：36

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.

引用

页数：14

共 33 条

[1] Common fixed point of a power graphic contraction pair in partial metric spaces endowed with a graph
Abbas, Mujahid
Nazir, Talat
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[2] Meir-Keeler α-contractive fixed and common fixed point theorems
Abdeljawad, Thabet
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[3] Generalized contractions in partially ordered metric spaces
Agarwal, Ravi P.
El-Gebeily, M. A.
O'Regan, Donal
[J]. APPLICABLE ANALYSIS, 2008, 87 (01) : 109 - 116
[4] Fixed Point Theorems in Ordered Banach Spaces and Applications to Nonlinear Integral Equations
Agarwal, Ravi P.
Hussain, Nawab
Taoudi, Mohamed-Aziz
[J]. ABSTRACT AND APPLIED ANALYSIS, 2012,
[5] Metric-like spaces, partial metric spaces and fixed points
Amini-Harandi, A.
[J]. FIXED POINT THEORY AND APPLICATIONS, 2012,
[6] Some new results on fixed and best proximity points in preordered metric spaces
Amini-Harandi, Alireza
Fakhar, Majid
Hajisharifi, Hamid Reza
Hussain, Nawab
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[7] Common Fixed Points of a Pair of Hardy Rogers Type Mappings on a Closed Ball in Ordered Dislocated Metric Spaces
Arshad, Muhammad
Shoaib, Abdullah
Vetro, Pasquale
[J]. JOURNAL OF FUNCTION SPACES AND APPLICATIONS, 2013,
[8] Fixed point of a pair of contractive dominated mappings on a closed ball in an ordered dislocated metric space
Arshad, Muhammad
Shoaib, Abdullah
Beg, Ismat
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,
[9] Some Common Fixed Point Results in Cone Metric Spaces
Arshad, Muhammad
Azam, Akbar
Vetro, Pasquale
[J]. FIXED POINT THEORY AND APPLICATIONS, 2009,
[10] Fixed point theorems for fuzzy contractive mappings in quasi-pseudo-metric spaces
Azam, Akbar
Waseem, Muhammad
Rashid, Maliha
[J]. FIXED POINT THEORY AND APPLICATIONS, 2013,

← 1 2 3 4 →