Coupled fixed point results on quasi-Banach spaces with application to a system of integral equations-Reference-Cited by-同舟云学术

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

Published:2013-11-07 Issue:1 Volume:2013 Page:
ISSN:1687-1812
Container-title:Fixed Point Theory and Applications
language:en
Short-container-title:Fixed Point Theory Appl

Author:

Hussain Nawab,Salimi Peyman,Al-Mezel Saleh

Abstract

Abstract 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.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology

Link

https://link.springer.com/content/pdf/10.1186/1687-1812-2013-261.pdf

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