OPEN ACCESS
The aim of this note is to show that if \(\left\{ {{X}_{\alpha }},\pi _{\alpha }^{\beta },\Lambda \right\}\) is an linearly ordered system of compact spaces such that each \({{X}_{\alpha }}\) has fixed point property for continuous multi-valued functions and each projection map is surjective, then the orbit space also has fixed point property for continuous multi-valued functions.
Linearly ordered system, Orbit space, Fixed point.
The author wish to thank the science project of Higher Education of GuangXi in China for contract KY2015LX778, under which the present work was possible.
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