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Articles

A note on the Conley attractors of lower semicontinuous multifunctions

Pages 656-666 | Received 19 Oct 2016, Accepted 05 Feb 2017, Published online: 20 Feb 2017

References

  • M.F. Barnsley and A. Vince, Development in fractal geometry, Bull. Math. Sci. 3 (2013), pp. 299–348.
  • M.F. Barnsley and A. Vince, The Conley attractors of an iterated funtion system, Bull. Austral. Math. Soc. 88(2) (2013), pp. 267–279.
  • R.S. Burachik and A.N. Iusem, Set-valued Mappings and Enlargements of Monotone Operators, Springer, New York, 2008.
  • H.Y. Chu, Chain recurrence for multi-valued dynamical systems on noncompact spaces, Nonlinear Anal. 61 (2005), pp. 715–723.
  • H.Y. Chu and J.S. Park, Attractors for relations in σ-compact spaces, Topology Appl. 148 (2005), pp. 201–212.
  • C. Conley, Isolated Invariant Sets and the Morse Index, CBMS Lecture Notes Vol. 38, AMS, Providence, Rhode Island, 1978.
  • G. Guzik, Asymptotic stability of discrete cocycles, J. Differ. Equ. Appl. 21(11) (2015), pp. 1044–1057.
  • G. Guzik, Asymptotic properties of multifunctions, families of measures and Markov operators associated with cocycles, Nonlinear Anal. 130 (2016), pp. 59–75.
  • G. Guzik, Semiattractors of set-valued semiflows, J. Math. Anal. Appl. 435 (2016), pp. 1321–1334.
  • G. Guzik, On construction of asymptotically stable iterated function systems with probabilities, Stoch. Anal. Appl. 34(1) (2016), pp. 24–37.
  • M. Hurley, Noncompact chain recurrence and attraction, Proc. Amer. Math. Soc. 115(4) (1992), pp. 1139–1148.
  • K. Kuratowski, An introduction to the set theory and topology, Polish ed., Academic Press PWN, Warszawa, 2004.
  • K. Kuratowski, Topology Vol. I, Academic Press, New York, 1966.
  • A. Lasota and J. Myjak, Attractors of multifunctions, Bull. Pol. Acad. Sci. Math. 48(3) (2000), pp. 319–334.
  • G. Manjunath and H. Jaeger, The dynamics of random difference equations is remodeled by closed relations, SIAM J. Math. Anal 46(1) (2014), pp. 459–483.
  • R. McGehee, Attractors for closed relations on compact Hausdorff spaces, Indiana Univ. Math. J. 41 (1992), pp. 1165–1209.
  • R. McGehee and T. Wiandt, Conley decomposition for closed relations, J. Differ. Equ. Appl. 12 (2006), pp. 297–312.

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