A fixed point theorem for non-self set-valued mappings
Let X be a complete, metrically convex metric space, K a closed convex subset of X, CB(X) the set of closed and bounded subsets of X. Let F:K→CB(X) satisfying definition (1) below, with the added condition that Fx⫅K for each x∈∂K. Then F has a fixed point in K. This result is an extension to multiva...
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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S0161171297000021 |
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