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A Characterization of S_beta -continuous Fixed Point Property |
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| รหัสดีโอไอ | |
| Creator | Ardoon Jongrak |
| Title | A Characterization of S_beta -continuous Fixed Point Property |
| Contributor | Sajjarak Ladsungnern |
| Publisher | Faculty of Science and Technology, Rajamangala University of Technology Thanyaburi |
| Publication Year | 2566 |
| Journal Title | Progress in Applied Science and Technology |
| Journal Vol. | 13 |
| Journal No. | 2 |
| Page no. | 9-16 |
| Keyword | S_beta -open sets, S_beta-continuous function, fixed point property, S_beta-continuous fixed point property |
| URL Website | https://ph02.tci-thaijo.org/index.php/past/index |
| Website title | Progress in Applied Science and Technology |
| ISSN | 2730-3020 |
| Abstract | In this paper, we define and investigate the gif.latex?dpi{120}&space;S_{eta&space;}-continuous retraction and the gif.latex?dpi{120}&space;S_{eta&space;}-continuous fixed point property which apply the gif.latex?dpi{120}&space;S_{eta&space;}-continuity in (6). The study shown that, for the regular and locally indiscrete topological space gif.latex?left&space;(&space;X,au&space;ight&space;) with the gif.latex?dpi{120}&space;S_{eta&space;}-continuous fixed point property, if a topology gif.latex?sigma for gif.latex?X is stronger than gif.latex?au and for every open subset gif.latex?G in gif.latex?sigma with the closure of gif.latex?G in gif.latex?sigma and the closure of gif.latex?G in gif.latex?au are equal, then gif.latex?left&space;(&space;X,sigma&space;ight&space;) has the fixed point property. |