대한수학회보 (Bulletin of the Korean Mathematical Society)

  • 제40권3호
  • /
  • Pages.465-473
  • /
  • 2003
  • /
  • 1015-8634(pISSN)
  • /
  • 2234-3016(eISSN)
대한수학회 (Korean Mathematical Society)
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FIXED POINTS OF SEQUENTIALLY CONDENSING OPERATORS

  • Kim, In-Sook (Department of Mathematics, SungKyunKwan University)
  • 발행 : 2003.08.01
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초록

Introducing the concept of a sequentially condensing operator in a more general framework, we give a new fixed point theorem for sequentially condensing operators in Banach spaces, with the aid of attractors.

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참고문헌

  1. Measures of Noncompactness and Condensing Operators R.R.Akhmerov;M.I.Kamenskii;A.S.Potapov;A.E.Rodkina;B.N.Sadovskii
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  3. Nonlinear Anal. v.3 Fixed point theorems for nonlinear operators with a sequential condition https://doi.org/10.1016/0362-546X(79)90035-X
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  6. Trans. Amer. Math. Soc. v.149 Some fixed point theorems for compact mappings and flows on a Banach space W.A.Horn
  7. Zur Fixpunkttheorie mengenwertiger Abbildungen T.Jerofsky
  8. Funkcional. Anal. i Prilozen v.1 no.2 On a fixed point principle(Russian) B.N.Sadovskii
  9. Topological Vector Spaces(2nd edition) H.H.Schaefer