FIXED POINT THEOREMS FOR MULTI-MAPPINGS
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概要
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In this paper, some fixed point theorems are proved for mult-mappings defined on uniform spaces. These employ suitable continuity conditions and require certain sets to be nonempty. Some well known results for point-valued mappings including Banach's contraction principle are contained as special cases of the results obtained here. Given a multi-mapping and a point-valued mapping defined on a Hausdorff locally convex space, conditions are sought, that yield a fixed point for the sum of two mappings. Ceratin theorems of Krasnoselskii-type are obtained. These contain some known reluts for point-valued mappings.
- Yokohama City Universityの論文
- 1980-00-00
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