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Well-posedness of fixed point problems

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Abstract

We state conditions for well-posedness of a fixed point problem for single and multivalued operators, where these operators are deterministic or random. These results are applied to families of different generalized contractions.

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Acknowledgements

We are very grateful to an anonymous referee, who with his/her suggestions allows us to improve this work significantly. The research work of Raúl Fierro was partially supported by Chilean Council for Scientific and Technological Research, Grant FONDECYT 1160868.

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Authors and Affiliations

  1. Koshigram Union Institution, Koshigram, Burdwan, West Bengal, 713150, India

    Debashis Dey

  2. Instituto de Matemáticas, Pontificia Universidad Católica de Valparaíso, Casilla 4059, Valparaiso, Chile

    Raúl Fierro

  3. Instituto de Matemáticas, Universidad de Valparaíso, Casilla 4059, Valparaiso, Chile

    Raúl Fierro

  4. Department of Mathematics, The University of Burdwan, Burdwan, West Bengal, 713104, India

    Mantu Saha

Authors
  1. Debashis Dey
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  2. Raúl Fierro
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  3. Mantu Saha
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Correspondence to Debashis Dey.

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Dey, D., Fierro, R. & Saha, M. Well-posedness of fixed point problems. J. Fixed Point Theory Appl. 20, 57 (2018). https://doi.org/10.1007/s11784-018-0538-1

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  • DOI: https://doi.org/10.1007/s11784-018-0538-1

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