A soft version of the Knaster–Tarski fixed point theorem with applications

dc.contributor.authorLeyew, Bahru Tsegaye
dc.contributor.authorAbbas, Mujahid
dc.contributor.emailmujahid.abbas@up.ac.zaen_ZA
dc.date.accessioned2017-03-10T05:37:36Z
dc.date.issued2017-12
dc.description.abstractIn this paper first we define a partial order on a soft set (F, A) and introduce some related concepts. Then using the concept of a soft mapping introduced by Babitha and Sunil [Comput. Math. Appl., 60 (7) (2010), 1840-1849], a soft version of Knaster- Tarski fixed point theorem is obtained. Some examples are presented to support the concepts introduced and the results proved herein. As an application of our result, we show that the soft Knaster-Tarski fixed point theorem ensures the existence of a soft common fixed point for a commuting family of order-preserving soft mappings.en_ZA
dc.description.departmentMathematics and Applied Mathematicsen_ZA
dc.description.embargo2018-12-28
dc.description.librarianhb2017en_ZA
dc.description.sponsorshipThe University of Pretoria Maths Pilot Doctoral bursary, the National Research Foundation (NRF) and DST-NRF Centre of Excellence in Mathematical and Statistical Sciences (CoE-MaSS).en_ZA
dc.description.urihttp://link.springer.com/journal/11784en_ZA
dc.identifier.citationLeyew, B.T. & Abbas, M. A soft version of the Knaster–Tarski fixed point theorem with applications. Journal of Fixed Point Theory and Applications. (2017) 19: 2225-22239. https://doi.org/10.1007/s11784-017-0414-4en_ZA
dc.identifier.issn1661-7738 (print)
dc.identifier.issn1661-7746 (online)
dc.identifier.other10.1007/s11784-017-0414-4
dc.identifier.urihttp://hdl.handle.net/2263/59357
dc.language.isoenen_ZA
dc.publisherSpringeren_ZA
dc.rights© Springer International Publishing 2017. The original publication is available at : http://link.springer.com/journal/11784.en_ZA
dc.subjectSoft seten_ZA
dc.subjectSoft complete latticeen_ZA
dc.subjectSoft Knaster-Tarski fixed pointen_ZA
dc.subjectSoft order preservingen_ZA
dc.subjectSoft least (soft greatest) fixed pointen_ZA
dc.titleA soft version of the Knaster–Tarski fixed point theorem with applicationsen_ZA
dc.typePostprint Articleen_ZA

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