RECENT RESULTS AND CONJECTURES IN ANALYTICAL FIXED POINT THEORY

  • Park, Se-Hie (THE NATIONAL ACADEMY OF SCIENCES, REPUBLIC OF KOREA, AND DEPARTMENT OF MATHEMATICAL SCIENCES, SEOUL NATIONAL UNIVERSITY)
  • Published : 2008.01.31

Abstract

We survey recent results and some conjectures in analytical fixed point theory. We list the known fixed point theorems for Kakutani maps, Fan-Browder maps, locally selectionable maps, approximable maps, admissible maps, and the better admissible class $\cal{B}$ of maps. We also give 16 conjectures related to that theory.

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