System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)

DING Xie-ping

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DING Xie-ping. System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1401-1408.

Citation:

DING Xie-ping. System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1401-1408.

Citation:

DING Xie-ping. System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)[J]. Applied Mathematics and Mechanics, 2005, 26(12): 1401-1408.

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System of Coincidence Theorems in Product Topological Spaces and Applications(Ⅰ)

DING Xie-ping

College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066, P. R. China

Received Date: 2004-10-10
Rev Recd Date: 2005-08-17
Publish Date: 2005-12-15

Abstract

Abstract

A new notion of finite continuous topological space (in short,FC-space) without convexity structure was introduced.A new continuous selection theorem was established in FC-spaces.By applying the continuous selection theorem,some new coincidence theorems for two families of set-valued mappings defined on product space of noncompact FC-spaces are proved under much weak assumptions.These results generalize many known results in recent literature.Some applications will be given in a follow-up paper.
- system of coincidence theorems,
- continuous selection,
- transfer compact open value,
- FC-space

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References(23)

References

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