Nous démontrons de nouveaux résultats sur les images digitales dont les homotopies digitales entre deux transformations continues de l'image possèdent un chemin de points fixes. Ceci conduit à une théorie du point fixe des homotopies digitales, dont nous donnons une application sur une image digitale.
In this paper, we construct a framework which is called the digital homotopy fixed point theory. We get new results associating digital homotopy and fixed point theory. We also give an application on this theory.
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@article{CRMATH_2015__353_11_1029_0, author = {Ege, Ozgur and Karaca, Ismet}, title = {Digital homotopy fixed point theory}, journal = {Comptes Rendus. Math\'ematique}, pages = {1029--1033}, publisher = {Elsevier}, volume = {353}, number = {11}, year = {2015}, doi = {10.1016/j.crma.2015.07.006}, language = {en}, url = {http://www.numdam.org./articles/10.1016/j.crma.2015.07.006/} }
TY - JOUR AU - Ege, Ozgur AU - Karaca, Ismet TI - Digital homotopy fixed point theory JO - Comptes Rendus. Mathématique PY - 2015 SP - 1029 EP - 1033 VL - 353 IS - 11 PB - Elsevier UR - http://www.numdam.org./articles/10.1016/j.crma.2015.07.006/ DO - 10.1016/j.crma.2015.07.006 LA - en ID - CRMATH_2015__353_11_1029_0 ER -
Ege, Ozgur; Karaca, Ismet. Digital homotopy fixed point theory. Comptes Rendus. Mathématique, Tome 353 (2015) no. 11, pp. 1029-1033. doi : 10.1016/j.crma.2015.07.006. http://www.numdam.org./articles/10.1016/j.crma.2015.07.006/
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