Periodic points of multi-valued $\varepsilon $-contractive maps
Copyright policy )Periodic points of multi-valued $\varepsilon $-contractive maps
Let \((X,d)\) be a nonempty metric space and let \((2^X,H_d)\) be the hyperspace of all nonempty compact subsets of \(X\) with the Hausdoff metric. A multivalued map \(F:X\to 2^X\) is said to be \(\varepsilon\)-contractive (\(\varepsilon>0\)) provided that for all \(x,y\in X\) with \(x\not= y\) and \(d(x,y)<\varepsilon\), \(H_d(F(x),F(y))
Fixed-point and coincidence theorems (topological aspects), multi-valued map, continuum, open map, contractive map, \(\varepsilon\)-expansive map, Hausdorff metric, periodic point, fixed point, hyperspace, Hyperspaces in general topology, \(\varepsilon\)-contractive map, Set-valued maps in general topology
Fixed-point and coincidence theorems (topological aspects), multi-valued map, continuum, open map, contractive map, \(\varepsilon\)-expansive map, Hausdorff metric, periodic point, fixed point, hyperspace, Hyperspaces in general topology, \(\varepsilon\)-contractive map, Set-valued maps in general topology
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