Mabula, Mokhwetha D.2024-02-162024-02-162024-092023*S2024http://hdl.handle.net/2263/94663Dissertation (MSc (Mathematics))--University of Pretoria, 2023.A vector space X is called an ordered vector space if for any elements x, y, z ∈ X and α ∈ R+, x ⪯ y implies x + z ≤ y + z and 0 ≤ x implies 0 ≤ αx. If in addition, X is a lattice, that is if for a pair {x, y} the inf{x, y} and sup{x, y} exists, then X is a Riesz space (or a vector lattice). In this study, we discuss Banach lattices, ordered Banach spaces, operators on these spaces and their applications in economics, fixed-point theory, differential and integral equations.en© 2019 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria.UCTDOrdered vector spaceRiesz spacesOSC PropertyRademacher systemsLeontief modelsOrder boundednessFixed-point theorySDG-04: Quality EducationNatural and agricultural sciences theses SDG-04Dissertationu1731845010.25403/UPresearchdata.25216112