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Hybrid fixed point theorems with application to fractional evolution equations

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In this paper, we first prove some hybrid fixed point theorems of Krasnoselskii type via the measure of noncompactness in Banach spaces. Then some coupled fixed point theorems are established… Click to show full abstract

In this paper, we first prove some hybrid fixed point theorems of Krasnoselskii type via the measure of noncompactness in Banach spaces. Then some coupled fixed point theorems are established using the obtained hybrid fixed point theorems. As an application, we consider the existence of PC-mild solutions for the fractional evolution equations involving sectorial operators and impulsive effects.

Keywords: hybrid fixed; theorems application; point; fractional evolution; point theorems; fixed point

Journal Title: Journal of Fixed Point Theory and Applications
Year Published: 2017

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