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Retraction Note: Fixed point theorems for solutions of the stationary Schrödinger equation on cones

The Original Article was published on 27 February 2015

1 Retraction note

The Editors-in-Chief have retracted this article [1] because the results presented are invalid. The article also shows significant overlap with a number of previously published articles [25] and evidence of both peer review and authorship manipulation.

The authors have not responded to any correspondence regarding this retraction.

References

  1. Xue, G., Yuzbasi, E.: Fixed Point Theory Appl. 2015, 34 (2015). https://doi.org/10.1186/s13663-015-0275-8

    Article  Google Scholar 

  2. Qiao, L., Deng, G.-T.: Taiwan. J. Math. 15(5), 2213–2233 (2011). https://projecteuclid.org/euclid.twjm/1500406431

    Article  Google Scholar 

  3. Qiao, L., Deng, G.: Integral representation for the solution of the stationary Schrödinger equation in a cone. Math. Nachr. 285, 2029–2038 (2012). https://doi.org/10.1002/mana.201100251

    Article  MathSciNet  MATH  Google Scholar 

  4. Qiao, L., Su, B.-Y., Deng, G.-T.: Taiwan. J. Math. 16(5), 1733–1748 (2012). https://projecteuclid.org/euclid.twjm/1500406793

    Article  Google Scholar 

  5. Li, Z., Ychussie, B.: Fixed Point Theory Appl. 2015, 89 (2015). https://doi.org/10.1186/s13663-015-0342-1

    Article  Google Scholar 

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Correspondence to Eve Yuzbasi.

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Xue, G., Yuzbasi, E. Retraction Note: Fixed point theorems for solutions of the stationary Schrödinger equation on cones. Fixed Point Theory Appl 2020, 1 (2020). https://doi.org/10.1186/s13663-020-0669-0

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  • DOI: https://doi.org/10.1186/s13663-020-0669-0