Strictly convex metric spaces with round balls and fixed points
Volume 68 / 2005
Banach Center Publications 68 (2005), 23-29
MSC: 52A01, 47H10, 54H25.
DOI: 10.4064/bc68-0-3
Abstract
The paper introduces a notion of strictly convex metric space and strictly convex metric space with round balls. These objects generalize the well known concept of strictly convex Banach space. We prove some fixed point theorems in strictly convex metric spaces with round balls.
