A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces

Tri, Vo Viet; Karapınar, Erdal

dc.contributor.author	Tri, Vo Viet
dc.contributor.author	Karapınar, Erdal
dc.date.accessioned	2022-02-15T11:16:55Z
dc.date.available	2022-02-15T11:16:55Z
dc.date.issued	2020
dc.identifier.citation	Tri, Vo Viet; Karapınar, Erdal (2020). "A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces", Filomat, Vol. 34, No. 13, pp. 4387-4398.	tr_TR
dc.identifier.issn	0354-5180
dc.identifier.uri	http://hdl.handle.net/20.500.12416/5016
dc.description.abstract	The main aim of this paper is to prove the existence of the fixed point of the sum of two operators in setting of the cone-normed spaces with the values of cone-norm belonging to an ordered locally convex space. We apply this result to prove the existence of global solution of the Cauchy problem with perturbation of the form {x'(t) = f[t, x(t)] + g[t, x(t)], t is an element of[0,infinity), x(0) = x(0)is an element of F-1, in a scale of Banach spaces f(F-s; parallel to center dot parallel to(s)) : s is an element of(0, 1]}.	tr_TR
dc.language.iso	eng	tr_TR
dc.relation.isversionof	10.2298/FIL2013387T	tr_TR
dc.rights	info:eu-repo/semantics/openAccess	tr_TR
dc.subject	Cone Metric Spaces	tr_TR
dc.subject	Cone Normed Spaces	tr_TR
dc.subject	Fixed Point	tr_TR
dc.subject	Scale of Banach Spaces	tr_TR
dc.title	A Fixed Point Theorem and an Application for the Cauchy Problem in the Scale of Banach Spaces	tr_TR
dc.type	article	tr_TR
dc.relation.journal	Filomat	tr_TR
dc.contributor.authorID	19184	tr_TR
dc.identifier.volume	34	tr_TR
dc.identifier.issue	13	tr_TR
dc.identifier.startpage	4387	tr_TR
dc.identifier.endpage	4398	tr_TR
dc.contributor.department	Çankaya Üniversitesi, Fen - Edebiyat Fakültesi, Matematik Bölümü	tr_TR