Remarks on fixed point assertions in digital topology, 5

• Boxer, Laurence ^[1]
  1. [1] Niagara University

     Niagara University

     Town of Lewiston, Estados Unidos

     
• Localización: Applied general topology, ISSN-e 1989-4147, ISSN 1576-9402, Vol. 23, Nº. 2, 2022, págs. 437-451
• Idioma: inglés
• DOI: 10.4995/agt.2022.16655
• Enlaces
  • Texto completo
• Resumen

  • As in [6, 3, 4, 5], we discuss published assertions concerning fixed points in “digital metric spaces” - assertions that are incorrect or incorrectly proven, or reduce to triviality.

• Referencias bibliográficas
  • S. K. Barve, Q. A. Kabir and R. D. Daheriya, Unique common fixed point theorem for weakly compatible mappings in digital metric space, International...
  • L. Boxer, A classical construction for the digital fundamental group, Journal of Mathematical Imaging and Vision 10 (1999), 51-62. https://doi.org/10.1023/A:1008370600456
  • L. Boxer, Remarks on fixed point assertions in digital topology, 2, Applied General Topology 20, no. 1 (2019), 155-175. https://doi.org/10.4995/agt.2019.10667
  • L. Boxer, Remarks on fixed point assertions in digital topology, 3, Applied General Topology 20, no. 2 (2019), 349-361. https://doi.org/10.4995/agt.2019.11117
  • L. Boxer, Remarks on fixed point assertions in digital topology, 4, Applied General Topology 21, no. 2 (2020), 265-284. https://doi.org/10.4995/agt.2020.13075
  • L. Boxer and P. C. Staecker, Remarks on fixed point assertions in digital topology, Applied General Topology 20, no. 1 (2019), 135-153. https://doi.org/10.4995/agt.2019.10474
  • C. Chauhan, J. Singhal, S. Shrivastava, Q. A. Kabir and P. K. Jha, Digital topology with fixed point, Materials Today: Proceedings 47 (2021),...
  • S. Dalal, Common fixed point results for weakly compatible map in digital metric spaces, Scholars Journal of Physics, Mathematics and Statistics...
  • O. Ege and I. Karaca, Digital homotopy fixed point theory, Comptes Rendus Mathematique 353, no. 11 (2015), 1029-1033. https://doi.org/10.1016/j.crma.2015.07.006
  • K. Jyoti and A. Rani, Fixed point theorems for β-ψ-ϕ-expansive type mappings in digital metric spaces, Asian Journal of Mathematics and Computer...
  • K. Jyoti and A. Rani, Fixed point theorems with digital contractions, International Journal of Current Advanced Research 7, no. 3(E) (2018),...
  • A. Mishra, P. K. Tripathi, A. K. Agrawal and D. R. Joshi, A contraction mapping method in digital image processing, International Journal...
  • L. N. Mishra, K. Jyoti, A. Rani and Vandana, Fixed point theorems with digital contractions image processing, Nonlinear Science Letters A...
  • K. Rana and A. Garg, Various contraction conditions in digital metric spaces, Advances in Mathematics: Scientific Journal 9, no. 8 (2020),...
  • A. Rosenfeld, "Continuous" functions on digital pictures, Pattern Recognition Letters 4 (1986), 177-184. https://doi.org/10.1016/0167-8655(86)90017-6