A Generalization of Nadler’s Fixed Point Theorem
In the present paper, we generalize the well-known Nadler’s fixed point theorem (Nadler in Pac J Math 30:475–488, 1969 ), and one of some Dhompongsa and Yingtaweesittikul type theorems for multi-valued operators, see (Dhompongsa and Yingtaweesittikul in Fixed Point Theory Appl, 2007 ). Also, we give...
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| Veröffentlicht in: | Resultate der Mathematik 2017-11, Vol.72 (3), p.1525-1534 |
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| Hauptverfasser: | , |
| Format: | Artikel |
| Sprache: | eng |
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| Online-Zugang: | Volltext |
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| Zusammenfassung: | In the present paper, we generalize the well-known Nadler’s fixed point theorem (Nadler in Pac J Math 30:475–488,
1969
), and one of some Dhompongsa and Yingtaweesittikul type theorems for multi-valued operators, see (Dhompongsa and Yingtaweesittikul in Fixed Point Theory Appl,
2007
). Also, we give an example showing that our result is a proper generalization of some previous theorems. |
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| ISSN: | 1422-6383 1420-9012 |
| DOI: | 10.1007/s00025-017-0694-4 |