English

Contractive properties of multifunctions related to uniformity

Functional Analysis 2007-05-23 v1

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.

Keywords

Cite

@article{arxiv.math/0502048,
  title  = {Contractive properties of multifunctions related to uniformity},
  author = {Pratip Chakraborty},
  journal= {arXiv preprint arXiv:math/0502048},
  year   = {2007}
}

Comments

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