Applied Mathematics and Mechanics (English Edition) ›› 2003, Vol. 24 ›› Issue (3): 344-354.

• Articles • Previous Articles     Next Articles

ON THE EXISTENCE OF COMMON FIXED POINTS FOR A PAIR OF LIPSCHITZIAN MAPPINGS IN BANACH SPACES

ZENG Lu-chuan   

  1. Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China
  • Received:2001-09-25 Revised:2002-07-09 Online:2003-03-18 Published:2003-03-18
  • Supported by:
    the National Natural Science Foundation of China(19801023);the Teaching and Research Award Fund for Outstanding Young Teachers in Higher Education Institutions of MOE, P.R.China

Abstract: The existence of common fixed points for a pair of Lipschitzian mappings in Banach spaces is proved. By using this result, some common fixed point theorems are also established for these mappings in Hilbert spaces, in Lp spaces, in Hardy spaces Hp, and in Sobolev spaces Hr,p, for 1<p<+∞ and r≥0.

2010 MSC Number: 

APS Journals | CSTAM Journals | AMS Journals | EMS Journals | ASME Journals