Application of Petryshyn’s fixed point theorem to solvability for functional integral equations

作者:

Highlights:

• We established the existence result under some weaker conditions by the Petryshyn’s fixed point theorem.

• We studied the functional integral Eq. (1), which has many functional integral equations as applications.

• We presented an example to verify the suitability of our results.

摘要

•We established the existence result under some weaker conditions by the Petryshyn’s fixed point theorem.•We studied the functional integral Eq. (1), which has many functional integral equations as applications.•We presented an example to verify the suitability of our results.

论文关键词:Petryshyn’s fixed point theorem,Functional integral equation(FIE),Measure of non-compactness(MNC)

论文评审过程:Received 16 June 2020, Revised 18 November 2020, Accepted 6 December 2020, Available online 23 December 2020, Version of Record 23 December 2020.

论文官网地址:https://doi.org/10.1016/j.amc.2020.125878