The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS

  • Cho, Yeol-Je (Department of Mathematics Education and the RINS, Gyeongsang National University) ;
  • Q'Regan, Donal (Department of Mathematics, National University of Ireland) ;
  • Yan, Baoqiang (Department of Mathematics, Shandong Normal University)
  • Published : 2009.02.28
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Abstract

New Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Frechet spaces are presented. Also we present new results for condensing maps with a compact attractor. The proof relies on fixed point theory in Banach spaces and viewing a Frechet space as the projective limit of a sequence of Banach spaces.

Keywords

References

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