ABUNDANCE OF EQUIVALENT NORMS ONc0WITH FIXED POINT PROPERTY FOR AFFINE NONEXPANSIVE MAPPINGS

___

  • Brouwer, L. E. J., Über Abbildung von Mannigfaltigkeiten, Mathematische Annalen 71 (1912) 97–115.
  • Dowling, P., C. Lennard and B. Turett, Asymptotically isometric copies of c in Banach spaces, J. Math. Anal. Appl. 219 (1998) 377–391.
  • Goebel, K., T. Kuczumow, Irregular convex sets with …xed-point property for nonexpansive mappings, Colloquium Mathematicae 40 (2) (1979) 259–264.
  • Hardy, G. H., J. E. Littlewood, G. P´İlya, Inequalities, (1952) Cambridge University Press
  • Kirk, W. A., A …xed point theorem for mappings which do not increase distances, The Amer- ican Mathematical Monthly (9) 72 (1965) 1004–1006.
  • Lennard, C., V. Nezir, The closed, convex hull of every ai c0-summing basic sequence fails the fpp for a¢ ne nonexpansive mappings, J. Math. Anal. Appl. 381 (2011) 678–688.
  • Lin, P. K., There is an equivalent norm on ` that has the …xed point property, Nonlinear Analysis 68 (2008) 2303–2308.
  • Nezir, V., Renorming c0and the …xed point property for a¢ ne nonexpansive mappings, sub- mitted. Current address : Veysel Nezir (Corresponding author): Department of Mathematics, Faculty
  • of Science and Letters, Kafkas University, Kars, 36100, Turkey. E-mail address : veyselnezir@yahoo.com Current address : Sıddık Sade: Department of Mathematics, Faculty of Science and Letters