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Fixed point theorems for multi-valued contractions in distance spaces

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Revista de la Real Academia de Ciencias Exactas, Fisicas y Naturales. Serie A. Matematicas Aims and scope Submit manuscript

Abstract

In this paper, we first introduce a distance space and then give a new fixed point theorem for multi-valued contractions in such spaces. Even in the case of metric spaces, our main theorem unifies and generalizes some recent results in the literature. Some examples are given to show that the fixed point result given here is a genuine generalization.

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Acknowledgments

The first author was partially supported by a grant from IPM (No. 91470412). The second author was partially supported by a grant from IPM (No. 90540010). This work was also supported by the Center of Excellence for Mathematics, University of Shahrekord, Iran. For the last author, this paper was supported by a grant of the Romanian National Authority for Scientific Research, CNCS-UEFISCDI, project number PN-II-ID-PCE-2011-3-0094.

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Authors and Affiliations

  1. Department of Pure Mathematics, University of Shahrekord, 88186-34141 , Shahrekord, Iran

    A. Amini-Harandi

  2. School of Mathematics, Institute for Research in Fundamental Sciences (IPM), P. O. Box: 19395-5746, Tehran, Iran

    A. Amini-Harandi & M. Fakhar

  3. Department of Mathematics, University of Isfahan, 81745-163 , Isfahan, Iran

    M. Fakhar & H. R. Hajisharifi

  4. Department of Mathematics, Babeş-Bolyai University, Kogălniceanu 1, 400084 , Cluj-Napoca, Romania

    A. Petruşel

Authors
  1. A. Amini-Harandi
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  2. M. Fakhar
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  3. H. R. Hajisharifi
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  4. A. Petruşel
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Correspondence to A. Petruşel.

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Amini-Harandi, A., Fakhar, M., Hajisharifi, H.R. et al. Fixed point theorems for multi-valued contractions in distance spaces. RACSAM 108, 721–732 (2014). https://doi.org/10.1007/s13398-013-0136-4

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  • DOI: https://doi.org/10.1007/s13398-013-0136-4

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