A-properness and fixed point theorems for dissipative type maps
We obtain new A-properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces. New fixe...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/S108533759900010X |
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| _version_ | 1850232898932703232 |
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| author | K. Q. Lan J. R. L. Webb |
| author_facet | K. Q. Lan J. R. L. Webb |
| author_sort | K. Q. Lan |
| collection | DOAJ |
| description | We obtain new A-properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces. New fixed point results are obtained by utilising a theory of fixed point index. |
| format | Article |
| id | doaj-art-0d1b8b2f83c24e128314146a8f6b4acd |
| institution | OA Journals |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-0d1b8b2f83c24e128314146a8f6b4acd2025-08-20T02:03:02ZengWileyAbstract and Applied Analysis1085-33751687-04091999-01-01428310010.1155/S108533759900010XA-properness and fixed point theorems for dissipative type mapsK. Q. Lan0J. R. L. Webb1Department of Mathematics and Statistics, York University, 4700 Keele Street, Toronto M3J 1P3, Ontario, CanadaDepartment of Mathematics, University of Glasgow, Glasgow G12 8QW, UKWe obtain new A-properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces. New fixed point results are obtained by utilising a theory of fixed point index.http://dx.doi.org/10.1155/S108533759900010X |
| spellingShingle | K. Q. Lan J. R. L. Webb A-properness and fixed point theorems for dissipative type maps Abstract and Applied Analysis |
| title | A-properness and fixed point theorems for dissipative type maps |
| title_full | A-properness and fixed point theorems for dissipative type maps |
| title_fullStr | A-properness and fixed point theorems for dissipative type maps |
| title_full_unstemmed | A-properness and fixed point theorems for dissipative type maps |
| title_short | A-properness and fixed point theorems for dissipative type maps |
| title_sort | a properness and fixed point theorems for dissipative type maps |
| url | http://dx.doi.org/10.1155/S108533759900010X |
| work_keys_str_mv | AT kqlan apropernessandfixedpointtheoremsfordissipativetypemaps AT jrlwebb apropernessandfixedpointtheoremsfordissipativetypemaps |