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Some Selection Theorems without Convexity

✍ Scribed by H. Benelmechaiekh; M. Oudadess


Publisher
Elsevier Science
Year
1995
Tongue
English
Weight
219 KB
Volume
195
Category
Article
ISSN
0022-247X

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Sadovskii's fixed point theorem without
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The abstract formulation of Kirk's ΓΏxed point theorem by Penot played a major role in developing ΓΏxed point theorems in nonconvex setting. In this work, we similarly give an abstract formulation to Sadovskii's ΓΏxed point theorem using convexity structures. As an example, we discuss these new ideas i