Contractive properties of multifunctions related to uniformity

Details Contractive properties of multifunctions related to uniformity Contractive properties of multifunctions related to uniformity

2005-02-02

arxiv.org/abs/math/0502048v1

Mathematics

Functional Analysis

5 pages, prepared for a talk in the Undergraduate Mathematics Conference'2005 at the Rose Hulman Institute of Technology,USA

Scientific paper

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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