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Fixed Point Theorems For D-Complete Topological Spaces I, Troy L. Hicks
Fixed Point Theorems For D-Complete Topological Spaces I, Troy L. Hicks
Mathematics and Statistics Faculty Research & Creative Works
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. © 1992, Hindawi Publishing Corporation. All rights reserved.