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Sadovskii's fixed point theorem without convexity

✍ Scribed by M.A Khamsi

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 98 KB
Volume: 53
Category: Article
ISSN: 0362-546X
DOI: 10.1016/s0362-546x(03)00038-5

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✦ Synopsis

The abstract formulation of Kirk's ÿxed point theorem by Penot played a major role in developing ÿxed point theorems in nonconvex setting. In this work, we similarly give an abstract formulation to Sadovskii's ÿxed point theorem using convexity structures. As an example, we discuss these new ideas in the hyperconvex metric setting.

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