ON SOME NEW I-CONVERGENT SEQUENCE SPACES Vakeel.A.Khan Department of Mathematics A.M.U, Aligarh-202002(INDIA) E.mail : vakhan@math.com, vakhanmaths@gmail.com Khalid Ebadullah Department of Mathematics A.M.U, Aligarh-202002(INDIA) E.mail : khalidebadullah@gmail.com Abstract In this article we introduce the sequence spaces V I 0σ (m, ǫ) and V I σ (m, ǫ) and study some of the properties and inclusion relations on these spaces. Mathematics Subject Classification: 40A05, 40A35, 40C05, 46A45 Keywords:Ideal, filter,paranorm,I-convergent,Invariant mean,monotone and solid space. 1 Introduction Let , and be the sets of all natural,real and complex numbers respectively. We write ω = {x =(x k ): x k ∈ or }, the space of all real or complex sequences. Let l ∞ ,c and c 0 denote the Banach spaces of bounded,convergent and nul sequences respectively normed by ||x|| ∞ = sup k |x k | . Mathematica Aeterna, Vol. 3, 2013, no. 2, 151 - 159