Abdeljawad, ThabetAbdeljawad, ThabetTurkoglu, DuranAbuloha, MuhibMatematik2025-09-232025-09-232010Abdeljawad, T., Türkoğlu, D., Abuloha, M. (2010). Some Theorems and Examples of Cone Banach Spaces. Journal of Computational analysis and Applications, 12(4), 739-753.1521-13981572-9206https://hdl.handle.net/20.500.12416/15578In this paper, by defining a cone norm parallel to.parallel to(A) on E over itself which behaves like the absolute value norm on R, we construct examples of cone Banach spaces. Namely, we define the m-Euclidian cone normed space E-m, E-infinity and the space C-E(S) of continuous functions in cones, to generalize the Banach spaces R-m, l(infinity) and C [a, b], respectively. Some basic lemmas and theorems are also proved to help in the construction and in the proof of completeness of the above mentioned examples of cone normed spaces.eninfo:eu-repo/semantics/closedAccessCone Metric SpaceCone Normed SpaceCone Banach SpaceStrongly Minihedral ConeLimit Point In The Sense Of ConeA-PropertyGeneralized Absolute Value PropertySpace E-MSpace E-InfinityArticle