Fixed Point Theorems for D-Complete Topological Spaces I

Troy L. Hicks

doi:10.1155/S0161171292000589

Fixed Point Theorems for D-Complete Topological Spaces I

Troy L. Hicks

Research output: Contribution to journal › Article › peer-review

20 Scopus citations

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.

Original language	English
Pages (from-to)	435-439
Number of pages	5
Journal	International Journal of Mathematics and Mathematical Sciences
Volume	15
Issue number	3
DOIs	https://doi.org/10.1155/S0161171292000589
State	Published - 1992
Externally published	Yes

Keywords

Fixed point
d-complete topological spaces

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abstract = "Generalizations of Banach{\textquoteright}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.",

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KW - d-complete topological spaces

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Fixed Point Theorems for D-Complete Topological Spaces I

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Keywords

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