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Coupled fixed point results on quasi-Banach spaces with application to a system of integral equations
Journal article   Open access  Peer reviewed

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

Nawab Hussain, Peyman Salimi and Saleh Al-Mezel
Fixed point theory and applications (Hindawi Publishing Corporation), Vol.2013(1), p.261
07/11/2013
DOI: https://doi.org/10.1186/1687-1812-2013-261

Abstract

integral equation coupled fixed point THEOREMS mixed monotone property quasi-Banach space MAPPINGS metric-type space ordered set ORDERED METRIC-SPACES CONTRACTIONS
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.
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https://doi.org/10.1186/1687-1812-2013-261View
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