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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.16 No.1

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LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2009, v.16 no.1, pp.69-83
Cho, Yeol-Je
Q'Regan, Donal
Yan, Baoqiang
Cho,, Y. , Q'Regan,, D. , & Yan,, B. (2009). LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 16(1), 69-83.

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
fixed point theory, projective limits

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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