Some fixed point theorems for multivalued maps in ordered Banach spaces and applications (Q2368448)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some fixed point theorems for multivalued maps in ordered Banach spaces and applications |
scientific article |
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Some fixed point theorems for multivalued maps in ordered Banach spaces and applications (English)
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19 April 2006
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In this paper, several well-known fixed point theorems for single-valued increasing mappings defined on an order interval \(D=[u_0,\,v_0]\) in ordered Banach spaces from [\textit{D.--J.\ Guo}, ``Nonlinear functional analysis'' (Shandong Science and Technology Press, Jinan) (1988; per bibl.)] are extended to the case of multi-valued increasing mappings \(F: D\to 2^D\). The argument is based on the monotone iterative technique in the presence of \(u_0\) and \(v_0\).
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convex cone
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multivalued increasing mapping
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upper semi-continuous
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maximal and minimal fixed points
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measure of noncompactness
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