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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 

 

A fixed point index for generalized inward mappings of condensing type


Authors: Kunquan Lan and Jeffrey Webb
Journal: Trans. Amer. Math. Soc. 349 (1997), 2175-2186
MSC (1991): Primary 47H11, 47H09; Secondary 54H25
DOI: https://doi.org/10.1090/S0002-9947-97-01939-9
MathSciNet review: 1422903
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Abstract: A fixed point index is defined for mappings defined on a cone $K$ which do not necessarily take their values in $K$ but satisfy a weak type of boundary condition called generalized inward. This class strictly includes the well-known weakly inward class. New results for existence of multiple fixed points are established.


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Additional Information

Kunquan Lan
Affiliation: Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
Email: kl@maths.gla.ac.uk

Jeffrey Webb
Affiliation: Department of Mathematics, University of Glasgow, Glasgow G12 8QW, UK
Email: jrlw@maths.gla.ac.uk

DOI: https://doi.org/10.1090/S0002-9947-97-01939-9
Keywords: Generalized inward, weakly inward, condensing maps
Received by editor(s): February 13, 1995
Article copyright: © Copyright 1997 American Mathematical Society