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Fixed Point Theorems for Point-to-Set Mappings

Published online by Cambridge University Press:  20 November 2018

Chi Song Wong
Chi Song Wong*
Affiliation:
Department of Mathematics, University of Windsor, Windsor, Ontario, Canada
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Abstract

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Let (X, d) be a metric space. Let Xc be the family of all non-empty closed subsets of X endowed with the Hausdorff metric D induced by d. Let f be a non-expansive mapping of X into Xc (D(f(x), f(y))≤d(x, y) for all x, y in X). Some fixed point theorems are obtained by imposing certain conditions on f and X.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 17 , Issue 4 , 01 December 1974 , pp. 581 - 586
Copyright
Copyright © Canadian Mathematical Society 1974

References

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