대한수학회지 (Journal of the Korean Mathematical Society)

  • 제43권1호
  • /
  • Pages.1-9
  • /
  • 2006
  • /
  • 0304-9914(pISSN)
  • /
  • 2234-3008(eISSN)
대한수학회 (Korean Mathematical Society)
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FIXED POINTS OF COUNTABLY CONDENSING MAPPINGS AND ITS APPLICATION TO NONLINEAR EIGENVALUE PROBLEMS

  • KIM IN-SOOK (Department of Mathematics Sungkyunkwan University)
  • 발행 : 2006.01.01
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초록

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 count ably condensing self-mappings due to S. J. Daher.

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참고문헌

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  13. M. Vath, Fixed point theorems and fixed point index for countably condensing maps, Topol. Methods Nonlinear Anal. 13 (1999), 341-363 https://doi.org/10.12775/TMNA.1999.018

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