• Title of article

    Application of measures of noncompactness to infinite system of linear equations in sequence spaces

  • Author/Authors

    alotaibi, a. , mursaleen, m. , mohiuddine, s.a.

  • Pages
    9
  • From page
    519
  • To page
    527
  • Abstract
    G. Darbo [Rend. Sem. Math. Univ. Padova, 24 (1955) 84--92] used the measure of noncompactness to investigate operators whose properties can be characterized as being intermediate between those of contraction and compact operators. In this paper, we apply the Darbo's fixed point theorem for solving infinite system of linear equations in some sequence spaces.
  • Keywords
    Sequence spaces , matrix transformations , Hausdorff measure of noncompactness , Darbo's fixed point theorem , infinite system of linear equations
  • Journal title
    Astroparticle Physics
  • Serial Year
    2015
  • Record number

    2440147