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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.
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참고문헌 (7)
참고문헌 신청
J. Andres / 2006 / Periodic solutions of dissipative systems revisited. Fixed Point Theory and Appl. 2006 / ID : 1 ~ 12
L. Gorniewicz / 1981 / Some general theorems in coincidence theory / J. Math. Pures et Appl 60 : 361 ~ 373
L. Gorniewicz / 1999 / Topological Fixed Point Theory of Multivalued Mappings / Kluwer Aca- demic Publishers
L. Gorniewicz / 2002 / The Lefschetz ?xed point theory for mor- phisms in topological vector spaces / Topological Methods in Nonlinear Anal 20 : 315 ~ 33
L.V. Kantorovich / 1964 / Functional Analysis in Normed Spaces / Pergamon Press
L. Gorniewicz / 1981 / Some general theorems in coincidence theory / J. Math. Pures et Appl 60 : 361 ~ 373
L. Gorniewicz / 1999 / Topological Fixed Point Theory of Multivalued Mappings / Kluwer Aca- demic Publishers
L. Gorniewicz / 2002 / The Lefschetz ?xed point theory for mor- phisms in topological vector spaces / Topological Methods in Nonlinear Anal 20 : 315 ~ 33
L.V. Kantorovich / 1964 / Functional Analysis in Normed Spaces / Pergamon Press
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