Document Zbl 0642.54047

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Fixed point theorems for quasi-metric spaces. (English) Zbl 0642.54047

Math. Jap. 33, No. 2, 231-236 (1988).

The fact that many pathological examples of topological spaces are quasi- metrizable makes fixed point theory more difficult in this setting. The Michael line, the Sorgenfrey line, the Kofner plane, and the Niemytzki plane are quasi-metrizable. This paper extends results for metric spaces to complete quasi-metric spaces.

Cited in 3 Reviews

Cited in 19 Documents

MSC:

54H25

Fixed-point and coincidence theorems (topological aspects)

Keywords:

quasi-pseudo-metric space; T-orbitally lower semi-continuous map; Caristi’s theorem; complete quasi-metric spaces

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