논문KCI 등재
LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS
한국수학교육학회|2009.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제16권 제1호|pp. 69-83
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초록
New Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fréchet 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 Fréchet space as the projective limit of a sequence of Banach spaces.
Abstract
New Lefschetz fixed point theorems for compact absorbing contractive admissible maps between Fréchet 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 Fréchet space as the projective limit of a sequence of Banach spaces.
참고문헌 (7)
- R.P. Agarwal, "A survey of recent ¯xed point theory in Frechet spaces. Nonlinear Analysis and Applications: to V. Lakshmikantham on his 80th birth- day, 1", pp.75~88 (2003), Kluwer Acad. Publ
- R.P. Agarwal, "A Lefschetz ¯xed point theorems for admissible maps in Frechet spaces", Dynamic Syst. and Appl, 16, pp.1~12 (2007)
- J. Andres, "Periodic solutions of dissipative systems revisited. Fixed Point Theory and Appl. 2006", ID, 1~12 (2006), Article ID 65195
- L. Gorniewicz, "Topological Fixed Point Theory of Multivalued Mappings" (1999), Kluwer Aca- demic Publishers
- L. Gorniewicz, "Some general theorems in coincidence theory", J. Math. Pures et Appl, 60, pp.361~373 (1981)
- L. Gorniewicz, "The Lefschetz ¯xed point theory for mor- phisms in topological vector spaces", Topological Methods in Nonlinear Anal, 20, pp.315~33 (2002)
- L.V. Kantorovich, "Functional Analysis in Normed Spaces" (1964), Pergamon Press
관련 논문AI추천
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