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FIXED POINT THEORY FOR PERMISSIBLE MAPS VIA INDEX THEORY
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New fixed point theorems for permissible maps between Fr´echet spaces are presented. The proof relies on index theory developed by Dzedzej and on viewing a Fr´echet space as the projective limit of a sequence of Banach spaces.
Abstract
New fixed point theorems for permissible maps between Fr´echet spaces are presented. The proof relies on index theory developed by Dzedzej and on viewing a Fr´echet space as the projective limit of a sequence of Banach spaces.
참고문헌 (6)
- R. P. Agarwal, "A survey of recent fixed point theory in Fr´echet spaces, Nonlinear analysis and applications: to V. Lakshmikantham on his 80th birthday", pp.75~88 (2003), Kluwer Acad. Publ.
- R. Bader, "Fixed point index for compositions of set valued maps with proximally 1-connected values on arbitrary ANR’s", Set Valued Analysis, pp.459~480 (1994)
- Z. Dzedzej, "Fixed point index for a class of nonacyclic multivalued maps", Diss. Math, 253, pp.1~58 (1985)
- L. Gorniewicz, "Topological fixed point theory of multivalued mappings" (1999), Kluwer Academic Publishers
- L. V. Kantorovich, "Functional analysis in normed spaces" (1964), Pergamon Press
- D. O’Regan, "An essential map approach for multimaps defined on closed subsets of Fr´echet spaces", Applicable Anal, 85, pp.503~513 (2006)
관련 논문AI추천
LEFSCHETZ FIXED POINT THEORY FOR COMPACT ABSORBING CONTRACTIVE ADMISSIBLE MAPS조열제, Baoqiang Yan, Donal O'Regan한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제1호Fixed point theory for various classes of permissible maps via index theoryDonal O'Regan, Ravi P. Agarwal대한수학회 · 대한수학회논문집2009 · 제24권 제2호Fixed point theory in Fr´echet spaces for M¨onch inward and contractive Urysohn type operatorsDonal O'Regan영남수학회 · East Asian Mathematical Journal2008 · 제24권 제3호Fixed points of weakly inward 1-set-contraction mappingsGuozhen Li, Huagui Duan, Shaoyuan Xu대한수학회 · 대한수학회지2008 · 제45권 제6호Eigenvalues of countably condensing maps김연호, 김인숙, Sunghui Kwon대한수학회 · 대한수학회지2009 · 제46권 제2호Fixed points, eigenvalues and surjectivity김인숙대한수학회 · 대한수학회지2008 · 제45권 제1호
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