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

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.

47H05, 47H10

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@Article{CMR-28-225, author = {Yongjie and Piao and and 18505 and and Yongjie Piao and Hailan and Jin and and 18506 and College of Textile and Clothing Engineering, Soochow University, Suzhou 215000, China and Hailan Jin and Guangri and Piao and and 18507 and and Guangri Piao}, 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.

Yongjie Piao, Hailan Jin & Guangri Piao. (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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