Solvability of the infinite system of integral equations in two variables in the sequence spaces c0 and ℓ1

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摘要

In this article, we establish the existence of solution of infinite systems of integral equations in two variables in the sequence spaces c0 and ℓ1 by using Meir–Keeler condensing operators. We explain the results with the help of simple examples.

论文关键词:34A34,45J25,46B45,47H10,Measure of noncompactness,Hausdorff measure of noncompactness,Condensing operators,Fixed point

论文评审过程:Received 1 February 2017, Revised 17 March 2017, Available online 6 June 2017, Version of Record 6 July 2017.

论文官网地址:https://doi.org/10.1016/j.cam.2017.05.035