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A Class of Quasi-Nonexpansive Multi-Valued Maps

Published online by Cambridge University Press:  20 November 2018

Chyi Shiau ,
Kok-Keong Tan  and
Chi Song Wong
Chyi Shiau
Affiliation:
Dalhouse University, Halifax, Nova Scotia.
Kok-Keong Tan
Affiliation:
University Of Windsor, Windsor, Ontario.
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Let (X, d) be a (nonempty) metric space. bc(X) will denote the family of all nonempty bounded closed subsets of X endowed with the Hausdorff metric D induced by d [2, pp. 205]. Let/be a map of X into bc(X). f is nonexpansive at a point x in X if for all y in X.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 18 , Issue 5 , 01 December 1975 , pp. 709 - 714
Copyright
Copyright © Canadian Mathematical Society 1975

References

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5. Chyi, Shiau, Kok-Keong, Tan and Chi Song, Wong, Quasi-nonexpansive multi-valued maps and selections, (To appear in Fund. Math.)Google Scholar
6. Wong, Chi Song, Lecture Notes on Functional Analysis, University of Windsor (1972- 1973) (unpublished).Google Scholar