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The cyclic extensibility of essential components of the fixed point set

The cyclic extensibility of essential components of the fixed point set

All spaces considered in this paper are separable metric and every mapping is continuous unless otherwise stated.Let $X$ be a continuum1).If every continuous mapping $f:X\rightarrow X$ has at least one fixed point, $X$ is called to have the fixed point property $(f.p.p.)$ .In this paper we investigate the existence of …