A generalization of the Krasnoselskii-Petryshyn compression and expansion theorem: An essential map approach

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13 Citations (Scopus)

Abstract

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

Original languageEnglish
Pages (from-to)669-681
Number of pages13
JournalJournal of the Korean Mathematical Society
Volume38
Issue number3
Publication statusPublished - 2001

Keywords

  • Countably k-set contractive maps
  • Essential and inessential maps
  • Fixed point results

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