Application of measures of noncompactness to infinite system of linear equations in sequence spaces
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زبان مدرک
Englishچکیده
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.
کلید واژگان
Sequence spacesmatrix transformations
Hausdorff measure of noncompactness
Darbo's fixed point theorem
infinite system of linear equations
40-XX Sequences, series, summability
46-XX Functional Analysis
47-XX Operator theory
شماره نشریه
2تاریخ نشر
2015-04-011394-01-12
ناشر
Springer and the Iranian Mathematical Society (IMS)سازمان پدید آورنده
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 ArabiaDepartment of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and, Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
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
شاپا
1017-060X1735-8515
