The Jordan-von Neumann constants and fixed points for multivalued nonexpansive mappings
The purpose of this paper is to study the existence of fixed points for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence coefficient WCS ( X ) and the Jordan-von Neumann constant CNJ ( X ) of a...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
2014
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| Online Access: | http://www.scopus.com/inward/record.url?eid=2-s2.0-33646362519&partnerID=40&md5=b65f11b216bd77cc91ba0b17a388f50d http://cmuir.cmu.ac.th/handle/6653943832/5091 |
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| Institution: | Chiang Mai University |
| Language: | English |
| Summary: | The purpose of this paper is to study the existence of fixed points for nonexpansive multivalued mappings in a particular class of Banach spaces. Furthermore, we demonstrate a relationship between the weakly convergent sequence coefficient WCS ( X ) and the Jordan-von Neumann constant CNJ ( X ) of a Banach space X. Using this fact, we prove that if CNJ ( X ) is less than an appropriate positive number, then every multivalued nonexpansive mapping T : E → KC ( E ) has a fixed point where E is a nonempty weakly compact convex subset of a Banach space X, and KC ( E ) is the class of all nonempty compact convex subsets of E. © 2005 Elsevier Inc. All rights reserved. |
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