dc.contributor.author | Özer, Özen | |
dc.contributor.author | Omran, Saleh | |
dc.date.accessioned | 2021-12-12T17:01:11Z | |
dc.date.available | 2021-12-12T17:01:11Z | |
dc.date.issued | 2017 | |
dc.identifier.issn | 2313-626X | |
dc.identifier.issn | 2313-3724 | |
dc.identifier.uri | https://doi.org/10.21833/ijaas.2017.02.006 | |
dc.identifier.uri | https://hdl.handle.net/20.500.11857/3101 | |
dc.description.abstract | The Banach contraction principle, which shows that every contractive mapping has a unique fixed point in a complete metric space, has been extended in many directions. One of the branches of this theory is devoted to the study of fixed points. Especially, Fixed point theory in C*- algebra valued metric spaces has greatly developed in recent times. Also, we study on generalized C*- algebra valued metric space and give some examples, the idea of this metric is to replace the set of real numbers by the positive cone C*- algebras, the set of positive elements on the C*- algebras the notation introduced recently. Also, we prove certain fixed-point theorem for a single-valued mapping in such spaces. The mapping we consider here is assumed to satisfy certain D-metric conditions with generalized fixed-point theorem. Moreover, the paper provides an application to prove the existence and uniqueness of fixed points. (C) 2017 The Authors. Published by IASE. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Inst Advanced Science Extension | en_US |
dc.relation.ispartof | International Journal of Advanced and Applied Sciences | en_US |
dc.identifier.doi | 10.21833/ijaas.2017.02.006 | |
dc.rights | info:eu-repo/semantics/openAccess | en_US |
dc.subject | Fixed point theory | en_US |
dc.subject | C*- algebra | en_US |
dc.subject | Positive cone | en_US |
dc.title | On the generalized C*- valued metric spaces related with Banach fixed point theory | en_US |
dc.type | article | |
dc.authorid | OZER, Ozen/0000-0001-6476-0664 | |
dc.department | Fakülteler, Fen-Edebiyat Fakültesi, Matematik Bölümü | |
dc.identifier.volume | 4 | en_US |
dc.identifier.startpage | 35 | en_US |
dc.identifier.issue | 2 | en_US |
dc.identifier.endpage | 37 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.identifier.wos | WOS:000397422500006 | en_US |
dc.authorwosid | OZER, Ozen/ABB-9945-2020 | |