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Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations

In: Contributions in Mathematics and Engineering

Author

Listed:
  • A. Petruşel

    (Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics)

  • I. A. Rus

    (Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics)

  • M.-A. Şerban

    (Babeş-Bolyai University of Cluj-Napoca, Department of Mathematics)

Abstract

The aim of this paper is to present the technique of the fixed point partition with respect to an operator and a fixed point structure, to study the data dependence of the fixed points, Ostrowski property and well posedness of the fixed point problem. An application to a class of Carthéodory integral equation is given. Some research directions are also presented.

Suggested Citation

  • A. Petruşel & I. A. Rus & M.-A. Şerban, 2016. "Fixed Point Structures, Invariant Operators, Invariant Partitions, and Applications to Carathéodory Integral Equations," Springer Books, in: Panos M. Pardalos & Themistocles M. Rassias (ed.), Contributions in Mathematics and Engineering, pages 497-515, Springer.
    • Handle: RePEc:spr:sprchp:978-3-319-31317-7_24
    DOI: 10.1007/978-3-319-31317-7_24
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