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Contractive properties of multifunctions related to uniformity

Pratip Chakraborty
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Abstract

Here I prove some extension theorem for multifunctions in a space with an arbitrary uniform structure and orbital completeness. The motivation comes from a fixed point theorem due to Dhage which is proved as a special case of the theorem presented here.

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Pratip Chakraborty. 2005-02-02. Contractive properties of multifunctions related to uniformity. https://arxiv.org/abs/math/0502048

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