University of MazandaranCaspian Journal of Mathematical Sciences (CJMS)1735-06111120120201Cone normed spaces2ENM. ESHAGHI GORDJIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranM. RAMEZANIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranHamid KHODAEIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranH. BAGHANIDepartment of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, IranJournal Article20111001<p>In this paper, we introduce the cone normed spaces and cone bounded linear mappings. Among other things, we prove the Baire category theorem and the Banach--Steinhaus theorem in cone normed spaces.</p>http://cjms.journals.umz.ac.ir/article_2_9d4bc689eafc39ad8c16bef549e1789b.pdf