Coupled fixed point results on quasi-Banach spaces with application to a system of integral equations

Fixexd point theory and applications

Saleh Al-Mezel¹  Nawab Hussain¹  Peyman Salimi² 

[1] Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia;Young Researchers and Elite Club, Rasht Branch, Islamic Azad University, Rasht, Iran

关键词: quasi-Banach space;    metric-type space;    coupled fixed point;    mixed monotone property;    ordered set;    integral equation;   

DOI  :  10.1186/1687-1812-2013-261

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to obtain coupled fixed point theorems for self-mappings defined on an ordered closed and convex subset of a quasi-Banach space. Our method of proof is different and constructive in nature. As an application of our coupled fixed point results, we establish corresponding coupled coincidence point results without any type of commutativity of underlying maps. Moreover, an application to integral equations is given to illustrate the usability of the obtained results. MSC:47H10, 54H25, 55M20.

【 授权许可】

CC BY