Continuous Selections and Fixed Points for $ϕ$-Maps with Their Applications to Section Problems

Continuous Selections and Fixed Points for $ϕ$-Maps with Their Applications to Section Problems

Year:    2012

Author:    Yongjie Piao, Hailan Jin, Guangri Piao

Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 225–234

Abstract

The concept of finitely continuous topological space is introduced and the basic properties of the space are given. Several continuous selection theorems and fixed point theorems for $ϕ$-maps are established, and as applications of the above fixed point theorems, some section problems are discussed. The results generalize and improve many corresponding conclusions.

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Journal Article Details

Publisher Name:    Global Science Press

Language:    English

DOI:    https://doi.org/2012-CMR-19043

Communications in Mathematical Research , Vol. 28 (2012), Iss. 3 : pp. 225–234

Published online:    2012-01

AMS Subject Headings:    Global Science Press

Copyright:    COPYRIGHT: © Global Science Press

Pages:    10

Keywords:    FC-space FC-subset $ϕ$-map continuous selection fixed point section problem.

Author Details

Yongjie Piao

Hailan Jin

Guangri Piao