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Full-Text Articles in Statistics and Probability
Fixed Point Theorems For Non-Self Maps I, Troy L. Hicks, Unda Marie Sauga
Fixed Point Theorems For Non-Self Maps I, Troy L. Hicks, Unda Marie Sauga
Mathematics and Statistics Faculty Research & Creative Works
Suppose f:C→X where C is a closed subset of X. Necessary and sufficient conditions are given for f to have a fixed point. All results hold when X is complete metric space. Several results hold in a much more general setting. © 1994, Hindawi Publishing Corporation. All rights reserved.
Fixed Points For Pairs Of Mappings In D-Complete Topological Spaces, Troy L. Hicks, B. E. Rhoades
Fixed Points For Pairs Of Mappings In D-Complete Topological Spaces, Troy L. Hicks, B. E. Rhoades
Mathematics and Statistics Faculty Research & Creative Works
Several important metric space fixed point theorems axe 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. © 1993, Hindawi Publishing Corporation. All rights reserved.
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.