Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
권호 표지

A GENERALIZATION OF THE KRASNOSELSKII-PETRYSHYN COMPRESSION AND EXPANSION THEOREM: AN ESSENTIAL MAP APPROACH

  • Agarwal, Ravi P. (Department of Mathematics, National University of Singapore) ;
  • Regan, Donal-O. (Department of Mathematics, National University of Ireland)
  • Published : 2001.05.01
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Abstract

This paper introduces the notions of essential and inessential map for countably $textsc{k}$-set contractive maps. These ideas enable us to establish a Krasnoselskii-Petryshyn compression and expansion theorem in a cone for countably $textsc{k}$-set contractive maps.

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References

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