On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces

ZENG Lu-chuan

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ZENG Lu-chuan. On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(3): 305-314.

Citation:

ZENG Lu-chuan. On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(3): 305-314.

Citation:

ZENG Lu-chuan. On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces[J]. Applied Mathematics and Mechanics, 2003, 24(3): 305-314.

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On the Existence of Common Fixed Points for a Pair of Lipschitzian Mappings in Banach Spaces

ZENG Lu-chuan

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

Received Date: 2001-09-25
Rev Recd Date: 2002-07-09
Publish Date: 2003-03-15

Abstract

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 established for these mappings in Hilbert spaces, in L^pspaces, in Hardy spaces H^p, and in Sobolev spaces H^r,p, for 1< p< +∞ and r≥0.
- asymptotic regularity,
- common fixed point,
- Lipschitzian mapping,
- puniformly convex Banach space,
- weak X-limitset

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References(25)

References

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