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Volume 28, Issue 3
Continuous Selections and Fixed Points for $ϕ$-Maps with Their Applications to Section Problems

Yongjie Piao, Hailan Jin & Guangri Piao

Commun. Math. Res., 28 (2012), pp. 225-234.

Published online: 2021-05

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  • 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.

  • Keywords

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

  • AMS Subject Headings

47H05, 47H10

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-28-225, author = {Piao , YongjieJin , Hailan and Piao , Guangri}, title = {Continuous Selections and Fixed Points for $ϕ$-Maps with Their Applications to Section Problems}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {28}, number = {3}, pages = {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.

}, issn = {2707-8523}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/cmr/19043.html} }
TY - JOUR T1 - Continuous Selections and Fixed Points for $ϕ$-Maps with Their Applications to Section Problems AU - Piao , Yongjie AU - Jin , Hailan AU - Piao , Guangri JO - Communications in Mathematical Research VL - 3 SP - 225 EP - 234 PY - 2021 DA - 2021/05 SN - 28 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/cmr/19043.html KW - FC-space, FC-subset, $ϕ$-map, continuous selection, fixed point, section problem. AB -

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.

Piao , YongjieJin , Hailan and Piao , Guangri. (2021). Continuous Selections and Fixed Points for $ϕ$-Maps with Their Applications to Section Problems. Communications in Mathematical Research . 28 (3). 225-234. doi:
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