A -properness and fixed point theorems for dissipative type maps

K. Q. Lan and J. R. L. Webb

Abstract and Applied Analysis, 1999, vol. 4, 1-18

Abstract:

We obtain new A -properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces. New fixed point results are obtained by utilising a theory of fixed point index.

Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:219463

DOI: 10.1155/S108533759900010X

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