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

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

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

曾六川

Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China

收稿日期:2001-09-25 修回日期:2002-07-09 出版日期:2003-03-18 发布日期:2003-03-18
基金资助:
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

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

ZENG Lu-chuan

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

摘要/Abstract

摘要： 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 L^p spaces, in Hardy spaces H^p, and in Sobolev spaces H^r,p, for 1<p<+∞ and r≥0.

中图分类号:

O177.91

曾六川. ON THE EXISTENCE OF COMMON FIXED POINTS FOR A PAIR OF LIPSCHITZIAN MAPPINGS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 344-354.

ZENG Lu-chuan . ON THE EXISTENCE OF COMMON FIXED POINTS FOR A PAIR OF LIPSCHITZIAN MAPPINGS IN BANACH SPACES[J]. Applied Mathematics and Mechanics (English Edition), 2003, 24(3): 344-354.

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

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

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