Coupled and Tripled Coincidence Point Results with Application to Fredholm Integral Equations

被引：6
作者：
Kutbi, Marwan Amin [1 ]
Hussain, Nawab [1 ]
Roshan, Jamal Rezaei [2 ]
Parvaneh, Vahid [3 ]
机构：
[1] King Abdulaziz Univ, Dept ofMathemat, Jeddah 21589, Saudi Arabia
[2] Islamic Azad Univ, Qaemshahr Branch, Dept Math, Qaemshahr, Iran
[3] Islamic Azad Univ, Gilan E Gharb Branch, Dept Math, Gilan E Gharb, Iran
来源：
ABSTRACT AND APPLIED ANALYSIS | 2014年
关键词：
CONTRACTIVE-TYPE MAPPINGS; PARTIALLY ORDERED SETS; B-METRIC SPACES; FIXED-POINT; THEOREMS; SYSTEM; EXISTENCE;
D O I：
10.1155/2014/568718
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The aim of this paper is to define weak alpha-psi-phi-contractive mappings and to establish coupled and tripled coincidence point theorems for such mappings defined on G(b)-metric spaces using the concept of rectangular G-alpha-admissibility. As an application, we derive new coupled and tripled coincidence point results for weak psi-phi-contractive mappings in partially ordered G(b)-metric spaces. Our results are generalizations and extensions of some recent results in the literature. We also present an example as well as an application to nonlinear Fredholm integral equations in order to illustrate the effectiveness of our results.
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收藏
页数：18
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