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Fixed points of certain involutions in Banach spaces

Part of: Connections with other structures, applications Normed linear spaces and Banach spaces; Banach lattices

Published online by Cambridge University Press:  09 April 2009

M. S. Khan  and
M. Imdad
M. S. Khan
Affiliation:
Department of Mathematics Aligarh Muslim UniversityAligarh-202001, India
M. Imdad
Affiliation:
Department of Mathematics Aligarh Muslim UniversityAligarh-202001, India
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Abstract

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Some results on fixed points of certain involutions in Banach spaces have been obtained, and whence a few coincidence theorems are also derived. These are indeed generalization of previously known results due to Browder, Goebel-Zlotkiewicz and Iséki. Illustrative examples are also given.

Keywords

involutionBanach spaceconvex setfixed pointcoincidence pointmodulus of convexity.

MSC classification

Secondary: 54H25: Fixed-point and coincidence theorems 46B99: None of the above, but in this section
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 37 , Issue 2 , October 1984 , pp. 169 - 177
Copyright
Copyright © Australian Mathematical Society 1984

References

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