Remarks on the Preservation of the Almost Fixed Point Property Involving Several Types of Digitizations
Copyright policy )Remarks on the Preservation of the Almost Fixed Point Property Involving Several Types of Digitizations
This paper explores a certain relationship between the almost fixed point property (AFPP for short) of a compact and n-dimensional Euclidean space and that of its digitized space. Based on several types of digitizations, we prove that the AFPP of a compact and n-dimensional Euclidean cube is preserved by each of the U ( k ) , the L ( k ) and the Khalimsky digitizations, k ∈ 3 n − 1 , n ∈ N .
- Jeonbuk National University Korea (Republic of)
Khalimsky topology, digital space, digital topology, almost fixed point property, <i>U</i>- and <i>L</i>-digitization, QA1-939, <i>u</i>- and <i>l</i>-digitization, khalimsky topology, fixed point property, Mathematics
Khalimsky topology, digital space, digital topology, almost fixed point property, <i>U</i>- and <i>L</i>-digitization, QA1-939, <i>u</i>- and <i>l</i>-digitization, khalimsky topology, fixed point property, Mathematics
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