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On Fan's extensions of Browder's fixed point theorems for multi-valued inward mappings

Part of: Connections with other structures, applications Nonlinear operators and their properties

Published online by Cambridge University Press:  09 April 2009

Cheng-Ming Lee  and
Kok-Keong Tan
Cheng-Ming Lee
Affiliation:
Department of Mathematics University of Wisconsin, Milwaukee Milwaukee, Wisconsin 53201, U.S.A.
Kok-Keong Tan
Affiliation:
Department of Mathematics Dalhousie UniversityHalifax Nova Scotia, Canada
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Abstract

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Some fixed point theorems are obtained for weekly inward mappings which extend or generalize those results by K. Fan, B. Halpern or S. Reich. Various formulations of inward and outward concepts are also briefly discussed.

MSC classification

Secondary: 47H10: Fixed-point theorems 54H25: Fixed-point and coincidence theorems
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 26 , Issue 2 , September 1978 , pp. 169 - 174
Copyright
Copyright © Australian Mathematical Society 1978

References

Browder, F. E. (1968), “The fixed point theory of multi-valued mappings in topological vector spaces”, Math. Ann. 177, 283–301.Google Scholar
Fan, K. (1961), “A generalization of Tychonoff;s fixed point theorem”, Math. Annalen 142, 305–310.Google Scholar
Fan, K. (1969), “Extensions of two fixed point theorems of F. E. Browder”, Math. Z. 112, 234–240.Google Scholar
Halpern, B. (1970), “Fixed point theorems for set-valued maps in infinite dimensional spaces”, Math. Ann. 189, 87–98.CrossRefGoogle Scholar
Reich, S. (1972), “Fixed points in locally convex spaces”, Math. Z. 125, 17–31.CrossRefGoogle Scholar