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Some geometric conditions which imply the fixed point property for multivalued nonexpansive mappings |
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| Authors: | B Gavira |
| Institution: | Facultad de Matemáticas, Universidad de Sevilla, PO Box 1160, 41080 Sevilla, Spain |
| Abstract: | We show some geometric conditions on a Banach space X concerning the modulus of smoothness, the coefficient of weak orthogonality, the coefficient R(a,X), the James constant and the Jordan-von Neumann constant, which imply the existence of fixed points for multivalued nonexpansive mappings. These fixed point theorems improve some previous results and give affirmative answers to some open questions. |
| Keywords: | Multivalued nonexpansive mapping Fixed point Normal structure Modulus of smoothness Coefficient of weak orthogonality James constant Jordan-von Neumann constant |
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