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A General Approach on Picard Operators

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Advances in Metric Fixed Point Theory and Applications

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Abstract

In the chapter there are presented the recent investigations concerning the existence and the uniqueness of fixed points for the mappings in the setting of spaces which are not metric with different functions of measuring the distance and in consequence with the various convergence concepts. In this way we obtain the systematized knowledge of fixed point tools which are, in some situations, more convenient to apply than the known theorems with an underlying usual metric space. The appropriate illustrative examples are also presented.

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Author information

Authors and Affiliations

  1. Department of Mathematics and Computer Science, Lucian Blaga University of Sibiu, Sibiu, Romania

    Nicolae Adrian Secelean

  2. Faculty of Mathematics and Computer Science, Department of Nonlinear Analysis, University of Lodz, Banacha 22, 90-238, Lodz, Poland

    Dariusz Wardowski

Authors
  1. Nicolae Adrian Secelean
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  2. Dariusz Wardowski
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Corresponding author

Correspondence to Dariusz Wardowski .

Editor information

Editors and Affiliations

  1. Department of Mathematics Education, Gyeongsang National University, Jinju, Korea (Republic of)

    Yeol Je Cho

  2. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Mohamed Jleli

  3. Department of Mathematics, Aligarh Muslim University, Aligarh, India

    Mohammad Mursaleen

  4. Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

    Bessem Samet

  5. Department of Mathematics and Computer Sciences, University of Palermo, Palermo, Italy

    Calogero Vetro

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Secelean, N.A., Wardowski, D. (2021). A General Approach on Picard Operators. In: Cho, Y.J., Jleli, M., Mursaleen, M., Samet, B., Vetro, C. (eds) Advances in Metric Fixed Point Theory and Applications. Springer, Singapore. https://doi.org/10.1007/978-981-33-6647-3_20

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