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A Generalization of Nadler’s Fixed Point Theorem

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Abstract

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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Authors and Affiliations

  1. Department of Mathematics, Transilvania University of Braşov, 50 Maniu Iuliu, 500091, Braşov, Romania

    Ovidiu Popescu & Gabriel Stan

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  1. Ovidiu Popescu
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  2. Gabriel Stan
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Correspondence to Ovidiu Popescu.

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Popescu, O., Stan, G. A Generalization of Nadler’s Fixed Point Theorem. Results Math 72, 1525–1534 (2017). https://doi.org/10.1007/s00025-017-0694-4

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