Fixed point theorems and their applications to ordered variational inequalities in partially ordered vector spaces (Q2836057)
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scientific article; zbMATH DE number 6661927
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Fixed point theorems and their applications to ordered variational inequalities in partially ordered vector spaces |
scientific article; zbMATH DE number 6661927 |
Statements
7 December 2016
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partially ordered vector spaces
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Riesz spaces
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order continuity
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ordered Liptschitz condition
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order preserving mapping
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fixed point
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order variational inequalities
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Fixed point theorems and their applications to ordered variational inequalities in partially ordered vector spaces (English)
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Roughly speaking, the well-known basic fixed point results (approaches and techniques) in the context of Banach spaces are revisited and reconsidered in the setting of partially ordered vector spaces and hence Riesz spaces by using order-preserving (non-decreasing) mapping and order-continuity.
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