A Cone Measure of Noncompactness and Some Generalizations of Darbo's Theorem with Applications to Functional Integral Equations

Jleli Mohamed; Mursaleen Mohammad; Sadarangani Kishin; Samet Bessem<sup>*</sup>

doi:10.1155/2016/9896502

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A Cone Measure of Noncompactness and Some Generalizations of Darbo's Theorem with Applications to Functional Integral Equations

作者：Jleli Mohamed; Mursaleen Mohammad; Sadarangani Kishin; Samet Bessem^*

来源：Journal of Function Spaces, 2016, 2016: 9896502.

DOI：10.1155/2016/9896502

摘要

We introduce the concept of cone measure of noncompactness and obtain some generalizations of Darbo's theorem via this new concept. As an application, we establish an existence theorem for a system of integral equations. An example is also provided to illustrate the obtained result.