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An Integral Version of Ćirić’s Fixed Point Theorem

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Abstract

We establish a new fixed point theorem for mappings satisfying a general contractive condition of integral type. The presented theorem generalizes the well known Ćirić’s fixed point theorem [Lj. B. Ćirić, Generalized contractions and fixed point theorems, Publ. Inst. Math. 12 (26) (1971) 19-26]. Some examples and applications are given.

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Authors and Affiliations

  1. Ecole supérieure des Sciences et Techniques de Tunis, Département de Mathématiques, 5, avenue taha hussein-tunis, B.P. 56, bab menara, 1008, Tunisie

    Bessem Samet

  2. Department of Mathematics and Informatics, University of Palermo, Via archirafi 34, 90123, Palermo, Italy

    Calogero Vetro

Authors
  1. Bessem Samet
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  2. Calogero Vetro
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Correspondence to Calogero Vetro.

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The second author is supported by University of Palermo, Local University Project R. S. ex 60 %.

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Samet, B., Vetro, C. An Integral Version of Ćirić’s Fixed Point Theorem. Mediterr. J. Math. 9, 225–238 (2012). https://doi.org/10.1007/s00009-011-0120-1

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  • DOI: https://doi.org/10.1007/s00009-011-0120-1

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