DSpace@Çankaya

Locally convex valued rectangular metric spaces and the kannan's fixed point theorem

Basit öğe kaydını göster

dc.contributor.author Abdeljawad, Thabet
dc.contributor.author Türkoğlu, Duran
dc.date.accessioned 2017-02-16T08:38:49Z
dc.date.available 2017-02-16T08:38:49Z
dc.date.issued 2012-04
dc.identifier.citation Abdeljawad, T., Türkoğlu, D. (2011). Locally convex valued rectangular metric spaces and the kannan's fixed point theorem. Journal of Computational Analysis and Application, 14(3), 484-494. tr_TR
dc.identifier.issn 1521-1398
dc.identifier.uri http://hdl.handle.net/20.500.12416/1255
dc.description.abstract Rectangular TVS-cone metric spaces are introduced and Kannan's fixed point theorem is proved in these spaces. Two approaches are followed for the proof. At first we prove the theorem by a direct method using the structure of the space itself. Secondly, we use the nonlinear scalarization used recently by Wei-Shih Du in [A note on cone metric fixed point theory and its equivalence, Nonlinear Analysis,72(5),2259-2261 (2010).] to prove the equivalence of the Banach contraction principle in cone metric spaces and usual metric spaces. The proof is done without any normality assumption on the cone of the locally convex topological vector space, and hence generalizing several previously obtained results tr_TR
dc.language.iso eng tr_TR
dc.publisher Eudoxus Press tr_TR
dc.rights info:eu-repo/semantics/openAccess
dc.subject TVS-Cone Metric Space tr_TR
dc.subject Rectangular TVS-Cone Metric Space tr_TR
dc.subject Kannan's Fixed Point Theorem tr_TR
dc.title Locally convex valued rectangular metric spaces and the kannan's fixed point theorem tr_TR
dc.type article tr_TR
dc.relation.journal Journal of Computational Analysis and Application tr_TR
dc.contributor.authorID 48019 tr_TR
dc.identifier.volume 14 tr_TR
dc.identifier.issue 3 tr_TR
dc.identifier.startpage 484 tr_TR
dc.identifier.endpage 494 tr_TR
dc.contributor.department Çankaya Üniversitesi, Fen Edebiyat Fakültesi, Matematik Bilgisayar Bölümü tr_TR


Bu öğenin dosyaları:

Bu öğe aşağıdaki koleksiyon(lar)da görünmektedir.

Basit öğe kaydını göster