Common fixed point results for weak contractive mappings in ordered b-dislocated metric spaces with applications

被引：43

作者：

Hussain, Nawab ^{[1
]}

Roshan, Jamal Rezaei ^{[2
]}

Parvaneh, Vahid ^{[3
]}

Abbas, Mujahid ^{[4
]}

机构：

[1] King Abdulaziz Univ, Dept Math, Jeddah 21589, Saudi Arabia

[2] Islamic Azad Univ, Dept Math, Qaemshahr Branch, Qaemshahr, Iran

[3] Islamic Azad Univ, Young Researchers & Elite Club, Kermanshah Branch, Kermanshah, Iran

[4] Univ Pretoria, Dept Math & Appl Math, ZA-0002 Pretoria, South Africa

来源：

JOURNAL OF INEQUALITIES AND APPLICATIONS | 2013年

关键词：

coincidence point; common fixed point; dislocated metric space; b-dislocated metric space; dominating and dominated maps; altering distance function; THEOREMS;

D O I：

10.1186/1029-242X-2013-486

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We first introduce a new concept of b-dislocated metric space as a generalization of dislocated metric space and analyze different properties of such spaces. A fundamental result for the convergence of sequences in b-dislocated metric spaces is established and is employed to prove some common fixed point results for four mappings satisfying the generalized weak contractive condition in partially ordered b-dislocated metric spaces. Moreover, some examples and applications to integral equations are given here to illustrate the usability of the obtained results.

引用

页数：21