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.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-3, author = {Inese Bula}, title = {Strictly convex metric spaces with round balls and fixed points}, journal = {Banach Center Publications}, volume = {68}, year = {2005}, pages = {23-29}, zbl = {1077.52500}, language = {en}, url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-3} }
Inese Bula. Strictly convex metric spaces with round balls and fixed points. Banach Center Publications, Tome 68 (2005) pp. 23-29. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-bc68-0-3/