Continuous dependence and fixed points for some multivalued operators

Authors

  • Eduard Kirr Babeş-Bolyai University, Cluj-Napoca
  • Adrian Petrușel Babeş-Bolyai University, Cluj-Napoca

Keywords:

\(I^0\)-continuous multivalued operators, Hausdorff-Pompeiu generalized semi-metric, semi-continuous fixed point sets, contractive operators

Abstract

In this paper we extend the notion of \(I^0\)-continuity and uniform \(I^0\)-continuity from [2] to set-valued operators.
For families of such operators we prove (semi)continuity of the fixed point sets.

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References

H. Covitz and S. B. Nadler Jr., Multivalued contraction mappings in generalized metric, spaces, Israel J. Math., 8 (1970), 5-11.

I. Del Prete and C. Esposito, Elementi uniti di transformazioni funzionali e teoremi di dipendenza continua, Rend. Circ. Mat. Palermo, 23 (1974), 187-205.

E. Kirr, On the continuous dependence on parameters of the fixed point set for some classes of metric operators (to appear).

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Published

1997-08-01

How to Cite

Kirr, E., & Petrușel, A. (1997). Continuous dependence and fixed points for some multivalued operators. Rev. Anal. Numér. Théor. Approx., 26(1), 99–101. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1997-vol26-nos1-2-art14

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Articles