Fixed point and continuation results for contractions in metric and gauge spaces
Volume 77 / 2007
Banach Center Publications 77 (2007), 89-114
MSC: Primary 47H10; Secondary 47H04, 47H09.
DOI: 10.4064/bc77-0-8
Abstract
We present an overview of generalizations of Banach's fixed point theorem and continuation results for contractions, i.e., results establishing that the existence of a fixed point is preserved by suitable homotopies. We will consider single-valued and multi-valued contractions in metric and in gauge spaces.
