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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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
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| Online Access: | http://dx.doi.org/10.1155/S0161171297000021 |
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| _version_ | 1832564322462597120 |
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| author | B. E. Rhoades |
| author_facet | B. E. Rhoades |
| author_sort | B. E. Rhoades |
| collection | DOAJ |
| description | 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 multivalued mappings of a result of Ćirić [1]. |
| format | Article |
| id | doaj-art-4a490263edce40019297c6c17ee3efa7 |
| institution | Kabale University |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-4a490263edce40019297c6c17ee3efa72025-02-03T01:11:16ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04251997-01-0120191210.1155/S0161171297000021A fixed point theorem for non-self set-valued mappingsB. E. Rhoades0Department of Mathematics, Indiana University, Bloomington 47405, Indiana, USALet 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 multivalued mappings of a result of Ćirić [1].http://dx.doi.org/10.1155/S0161171297000021fixed pointmultivalued mapnon-self map. |
| spellingShingle | B. E. Rhoades A fixed point theorem for non-self set-valued mappings International Journal of Mathematics and Mathematical Sciences fixed point multivalued map non-self map. |
| title | A fixed point theorem for non-self set-valued mappings |
| title_full | A fixed point theorem for non-self set-valued mappings |
| title_fullStr | A fixed point theorem for non-self set-valued mappings |
| title_full_unstemmed | A fixed point theorem for non-self set-valued mappings |
| title_short | A fixed point theorem for non-self set-valued mappings |
| title_sort | fixed point theorem for non self set valued mappings |
| topic | fixed point multivalued map non-self map. |
| url | http://dx.doi.org/10.1155/S0161171297000021 |
| work_keys_str_mv | AT berhoades afixedpointtheoremfornonselfsetvaluedmappings AT berhoades fixedpointtheoremfornonselfsetvaluedmappings |