TY - JOUR
ID - 627
TI - Application of measures of noncompactness to infinite system of linear equations in sequence spaces
JO - Bulletin of the Iranian Mathematical Society
JA - BIMS
LA - en
SN - 1017-060X
AU - Alotaibi, A.
AU - Mursaleen, M.
AU - Mohiuddine, S. A.
AD - Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi Arabia, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
AD - Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and,
Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
Y1 - 2015
PY - 2015
VL - 41
IS - 2
SP - 519
EP - 527
KW - Sequence spaces
KW - matrix transformations
KW - Hausdorff measure of noncompactness
KW - Darbo's
fixed point theorem
KW - infinite system of linear equations
DO -
N2 - 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.
UR - http://bims.iranjournals.ir/article_627.html
L1 - http://bims.iranjournals.ir/article_627_feb3b9c527fe3048301249148495a3d7.pdf
ER -