International Journal of Mathematics and Mathematical Sciences
Volume 15 (1992), Issue 3, Pages 435-439
doi:10.1155/S0161171292000589
Fixed point theorems for d-complete topological spaces I
Troy L. Hicks
Department of Mathematics, University of Missouri at Rolla, Rolla 65401, Missouri, USA
Abstract
Generalizations of Banach's fixed point theorem are proved for a large class of non-metric spaces. These include d-complete symmetric (semi-metric) spaces and complete quasi-metric spaces. The distance function used need not be symmetric and need not satisfy the triangular inequality.