East Asian mathematical journal

The Youngnam Mathematical Society (영남수학회)
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FIXED POINT THEORY FOR PERMISSIBLE MAPS VIA INDEX THEORY

  • Balaj, Mircea (DEPARTMENT OF MATHEMATICS, UNIVERSITY OF ORADEA) ;
  • Cho, Yeol-Je (DEPARTMENT OF MATHEMATICS EDUCATION AND THE RINS, COLLEGE OF EDUCATION, GYEONGSANG NATIONAL UNIVERSITY) ;
  • O'Regan, Donal (DEPARTMENT OF MATHEMATICS, NATIONAL UNIVERSITY OF IRELAND)
  • Published : 2008.01.31
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Abstract

New fixed point theorems for permissible maps between $Fr{\acute{e}}chet$ spaces are presented. The proof relies on index theory developed by Dzedzej and on viewing a $Fr{\acute{e}}chet$ space as the projective limit of a sequence of Banach spaces.

Keywords