International Journal of Mathematics and Mathematical Sciences
Volume 16 (1993), Issue 2, Pages 259-266
doi:10.1155/S0161171293000304
Fixed points for pairs of mappings in d complete topological spaces
Troy L. Hicks1
and B.E. Rhoades2
1Department of Mathematics, University of Missouri - Rolla, Rolla 65401, MO, USA
2Department of Mathematics, Indiana University, Bloomington 47405, IN, USA
Abstract
Several important metric space fixed point theorems are proved for a large class of non-metric spaces. In some cases the metric space proofs need only minor changes. This is surprising since the distance function used need not be symmetric and need not satisfy the triangular inequality.