Integrable solutions of a generalized mixed-type functional integral equation

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摘要

In this work, we prove the existence of integrable solutions for the following generalized mixed-type nonlinear functional integral equation Our result is established by means of a Krasnosel’skii type fixed point theorem proved by Taoudi (2009). In the last section we give an example to illustrate our result.

论文关键词:Krasnosel’skii type fixed point theorem,(ws)-compact operator,Measure of weak noncompactness,Separate contraction,Mixed-type nonlinear functional integral equation

论文评审过程:Received 26 October 2015, Revised 7 December 2015, Accepted 14 December 2015, Available online 7 January 2016, Version of Record 7 January 2016.

论文官网地址:https://doi.org/10.1016/j.amc.2015.12.024