Troy L. Hicks, B. E. Rhoades, "Fixed points for pairs of mappings in complete topological spaces", International Journal of Mathematics and Mathematical Sciences, vol. 16, Article ID 516196, 8 pages, 1993. https://doi.org/10.1155/S0161171293000304
Fixed points for pairs of mappings in complete topological spaces
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.
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