Document Type : Research Paper
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
Department of Mathematics, Aligarh Muslim University, Aligarh 202002, India, and, Operator Theory and its Applications Research Group, King Abdulaziz University, Jeddah, Saudi Arabia
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.