The Schauder fixed-point theorem for connectivity maps

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A Remark to the Schauder Fixed Point Theorem

In the paper some sufficient conditions are established in order that a continuous map have a fixed point. The results are related to those obtained by R. D. Nussbaum in [18], L. Górniewicz and D. RozpłochNowakowska in [12], S. Szufla in [21] and D. Bugajewski in [6]. The famous Schauder Fixed Point Theorem [20] has been generalized in various directions by using different methods. For referenc...

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ژورنال

عنوان ژورنال: Colloquium Mathematicum

سال: 1981

ISSN: 0010-1354,1730-6302

DOI: 10.4064/cm-44-1-59-64