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dc.contributor.authorLashkaripour, Rahmatollahen_US
dc.contributor.authorBaghani, Hamiden_US
dc.contributor.authorAhmadi, Zahraen_US
dc.date.accessioned2020-11-05T13:41:35Z
dc.date.available2020-11-05T13:41:35Z
dc.date.issued2020
dc.identifier.citationLashkaripour, R., Baghani, H. & Ahmadi, Z. (2020). A fixed point problem via simulation functions in incomplete metric spaces with its application. TWMS Journal of Applied and Engineering Mathematics, 10(1), 220-231.en_US
dc.identifier.issn2146-1147en_US
dc.identifier.issn2587-1013en_US
dc.identifier.urihttp://belgelik.isikun.edu.tr/xmlui/handle/iubelgelik/2808
dc.identifier.urihttp://jaem.isikun.edu.tr/web/index.php/archive/104-vol10no1/507
dc.description.abstractIn this paper, firstly, we review the notion of the SO-complete metric spaces. This notion let us to consider some fixed point theorems for single-valued mappings in incomplete metric spaces. Secondly, as motivated by the recent work of A.H. Ansari et al. [J. Fixed Point Theory Appl. (2017), 1145–1163], we obtain that an existence and uniqueness result for the following problem: finding x ? X such that x = T x, Ax R? Bx and Cx R? Dx, where (X, d) is an incomplete metric space equipped with the two binary relations R? and R?, A, B, C, D : X ? X are discontinuous mappings and T : X ? X satisfies in a new contractive condition. This result is a real generalization of main theorem of A.H. Ansari’s. Finally, we provide some examples for our results and as an application, we find that the solutions of a differential equation.en_US
dc.language.isoenen_US
dc.publisherIşık University Pressen_US
dc.relation.ispartofTWMS Journal of Applied and Engineering Mathematicsen_US
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 United States*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/3.0/us/*
dc.subjectFixed pointen_US
dc.subjectConstraint inequalitiesen_US
dc.subject⊥-Z-contractionen_US
dc.subjectSO-complete metric spaceen_US
dc.subjectFractional differential equationen_US
dc.subjectOrthogonal setsen_US
dc.titleA fixed point problem via simulation functions in incomplete metric spaces with its applicationen_US
dc.typeArticleen_US
dc.description.versionPublisher's Versionen_US
dc.identifier.volume10
dc.identifier.issue1
dc.identifier.startpage220
dc.identifier.endpage231
dc.peerreviewedYesen_US
dc.publicationstatusPublisheden_US
dc.relation.publicationcategoryMakale - Uluslararası Hakemli Dergi - Başka Kurum Yazarıen_US


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