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Fixed points of countably condensing mappings and its application to nonlinear eigenvalue problems

김인숙
대한수학회 (The Korean Mathematical Society)|2006.01|대한수학회지 (Journal of the KMS)|제43권 제1호|pp. 1-9

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참고문헌

주제분류수학

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Abstract

Based on the Schauder fixed point theorem, we give a Leray-Schauder type fixed point theorem for countably condensing mappings in a more general setting and apply it to obtain eigenvalue results on condensing mappings in a simple proof. Moreover, we present a generalization of Sadovskii's fixed point theorem for countably condensing self-mappings due to S. J. Daher.

참고문헌 (11)

  1. "paper Measures of Noncompactness in Metric Fixed" (1997)
  2. "\ref \key 3 \by S.~J. Daher \paper On a fixed point principle ofSadovskii \jour Nonlinear Anal. \vol 2 \yr 1978 \pages 643--645\endref" (1978)
  3. "\ref \key 4 \by G. Darbo \paper Punti uniti in trasformazioni acodominio non compatto $" (1955), $ \jour Rend. Sem. Mat. Univ.Padova \vol 24 \yr 1955 \pages 84--92 \endref
  4. "\ref \key 5 \by J. Dugundji \paper An extension of Tietze'stheorem \jour Pacific J. Math. \vol 1 \yr 1951 \pages 353--367\endref" (1951)
  5. "ur kompakteund kondensierende mengenwertige Abbildungen in topologischenVektorr\" (1979), aumen \jour Comment. Math. Univ. Carolin. \vol 20 \yr1979 \pages 123--141 \endref
  6. "urkonzentrierende mengenwertige Abbildungen in lokalkonvexentopologischen Vektor\-r\" (1979)
  7. "\ref \key 8 \by C.~J. Himmelberg \paper Fixed points of compactmultifunctions \jour J. Math. Anal. Appl. \vol 38 \yr 1972 \pages205--207 \endref" (1972)
  8. "onch \paper Boundary value problems fornonlinear ordinary differential equations of second order inBanach spaces \jour Nonlinear Anal. \vol 4 \yr 1980 \pages985--999 \endref" (1980)
  9. "\ref \key 10 \by E.~H. Rothe \paper Zur Theorie der topologischenOrdunung und der Vektorfelder in Banachschen R\" (1938)
  10. "\ref \key 11 \by B.~N. Sadovskii \paper On a fixed pointprinciple $", pp.74~ (1967)
  11. "paper Fixed point theorems and fixed point index for countably condensing maps" (1999)

관련 논문AI추천

Eigenvalues of Countably Condensing Admissible Maps김인숙대한수학회 · 대한수학회지2005 · 제42권 제6호Eigenvalues of countably condensing maps김연호, 김인숙, Sunghui Kwon대한수학회 · 대한수학회지2009 · 제46권 제2호Fixed points of sequentially condensing operatorsIn-Sook Kim대한수학회 · 대한수학회보2003 · 제40권 제3호Fixed points, eigenvalues and surjectivity김인숙대한수학회 · 대한수학회지2008 · 제45권 제1호Fixed points of weakly inward 1-set-contraction mappingsGuozhen Li, Huagui Duan, Shaoyuan Xu대한수학회 · 대한수학회지2008 · 제45권 제6호Fixed point theorems for condensing mappings satisfying Leray-Schauder type conditionsShaini Pulickakunnel, Sreya Valiya Valappil대한수학회 · 대한수학회논문집2016 · 제31권 제1호

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