APPLICATION OF MEASURES OF NONCOMPACTNESS TO INFINITE SYSTEM OF LINEAR EQUATIONS IN SEQUENCE SPACES

作者：Alotaibi A; Mursaleen M^*; Mohiuddine S A

来源：Bulletin of the Iranian Mathematical Society, 2015, 41(2): 519-527.

• Sequence spaces
• matrix transformations
• Hausdorff measure of noncompactness
• Darbo's fixed point theorem
• infinite system of linear equations

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.

• 出版日期2015-5