The Journal of the Indian Mathematical Society

M. K. Fort ¹

Affiliations
1 The University of Georgia, Athens, Ga, GR

Abstract

Let X be a separable metric space. We consider the following conditions on X :
(α) X is zero dimensional,
(β) each point of X is a limit point of X,
(γ) X is compact,
(γ') X is a Gs subset of some complete metric space M.

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M. K. Fort ¹

Affiliations
1 University of Georgia, Athens, GE

Abstract

The almost fixed point property. A subset X of a metric space (M, d) has the "almost fixed point property" (abbreviated AFPP if and only if for each continuous function f of X into X and each positive number ∈, there exists a point p ∈ X for which d (p, f(p) ) is less than ∈ .

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M. K. Fort ¹

Affiliations
1 The University of Georgia, Athens, GA, US

Abstract

LET X be a separable metric space. We consider the following conditions on X:
(α) X is zero dimensional,
(β) each point of X is a limit point of X,
(γ) X is compact,
(γ') X is a G_δ subset of some complete metric space M.

Full Text