On some extensions of Nadler's fixed point theorem

Volume 10, Issue 12, pp 6159--6165 http://dx.doi.org/10.22436/jnsa.010.12.03

Publication Date: December 02, 2017 Submission Date: July 13, 2016

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Authors

Najeh Redjel - Laboratory of Informatics and Mathematics, University of Souk-Ahras, P. O. Box 1553, Souk-Ahras 41000, Algeria. Abdelkader Dehici - Laboratory of Informatics and Mathematics, University of Souk-Ahras, P. O. Box 1553, Souk-Ahras 41000, Algeria.

Abstract

In this paper, we give the notion of the pseudo-fixed point for multi-valued mappings which enable us to extend Nadler's theorem and other well-known results in the literature.

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Keywords

• Complete metric space
• Hausdorff metric
• multi-valued mapping
• pseudo-fixed point
• fixed point
• Nadler's fixed point theorem

MSC

•  54H25
•  47H10

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