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A General Approach on Picard Operators

In: Advances in Metric Fixed Point Theory and Applications

Author

Listed:
  • Nicolae Adrian Secelean

    (Lucian Blaga University of Sibiu, Department of Mathematics and Computer Science)

  • Dariusz Wardowski

    (University of Lodz, Faculty of Mathematics and Computer Science, Department of Nonlinear Analysis)

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.

Suggested Citation

  • Nicolae Adrian Secelean & Dariusz Wardowski, 2021. "A General Approach on Picard Operators," Springer Books, in: Yeol Je Cho & Mohamed Jleli & Mohammad Mursaleen & Bessem Samet & Calogero Vetro (ed.), Advances in Metric Fixed Point Theory and Applications, chapter 0, pages 475-503, Springer.
    • Handle: RePEc:spr:sprchp:978-981-33-6647-3_20
    DOI: 10.1007/978-981-33-6647-3_20
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