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

Nawab Hussain, Peyman Salimi, Saleh Al-Mezel
2013 Fixed Point Theory and Applications  
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: Primary 47H10; 54H25; 55M20
doi:10.1186/1687-1812-2013-261 fatcat:sk57cknarnatlha2lptsem5jde