FIXED POINT THEORY FOR MAPS HAVING CONVEXLY TOTALLY BOUNDED RANGES

  • Agarwal, Ravi-P. (Department of Mathematics, National University of Singapore) ;
  • O'regan, Donal (Department of Mathematics, National University of Ireland)
  • Published : 2001.01.01

Abstract

Three new fixed point theorems are presented for the set valued maps of Idzik. Moreover a continuation theorem for such maps is also given.

Keywords

References

  1. Continuatioin theorems for countably condensing maps R. P. Agarwal;D. O'Regan
  2. Infinite dimensional analysis C. D. Aliprantis;K. C. Border
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  4. Differential inclusions and Optimal Control, Lecture Notes in Nonlinear Analysis v.2 Leray-Schsuder type theorems and equilibrium existence theorems A. Idzik;S. Park
  5. Jour. Math. Anal. Appl. v.245 Fixed point theorems for set valued maps and existence principles for integral inclusions D. O'Regan;R. Precup
  6. Top. Methods in Nonlinear Anal. v.5 Generalized Leray-Schauder principles for compact admissible maps S. Park