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  • P-ISSN3059-0604
  • E-ISSN3059-1309
  • KCI

ISSN : 3059-0604

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Vol.16 No.1

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LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS

LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS

한국수학교육학회지시리즈B:순수및응용수학 / Journal of the Korean Society of Mathematical Education Series B: Theoretical Mathematics and Pedagogical Mathematics, (P)3059-0604; (E)3059-1309
2009, v.16 no.1, pp.69-83
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)
Cho, Yeol-Je, Q'Regan, Donal, & Yan, Baoqiang. (2009). LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS, 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

참고문헌

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한국수학교육학회지시리즈B:순수및응용수학

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