Discrete fixed-point theorem
In discrete mathematics, a discrete fixed-point theorem is a fixed-point theorem for functions defined on finite sets, typically subsets of the integer grid.
Discrete fixed-point theorems were developed by Iimura,[1] Murota and Tamura[2], Yang,[3] Chen and Deng,[4] and others.
References
- ^ Iimura, Takuya (2003-09-01). "A discrete fixed point theorem and its applications". Journal of Mathematical Economics. 39 (7): 725–742. doi:10.1016/S0304-4068(03)00007-7. ISSN 0304-4068.
- ^ Iimura, Takuya; Murota, Kazuo; Tamura, Akihisa (2005-12-01). "Discrete fixed point theorem reconsidered". Journal of Mathematical Economics. 41 (8): 1030–1036. doi:10.1016/j.jmateco.2005.03.001. ISSN 0304-4068.
- ^ Yang, Zaifu (2009-12-01) [2004 (FBA working paper no. 210, Yokohama National University)]. "Discrete fixed point analysis and its applications". Journal of Fixed Point Theory and Applications. 6 (2): 351–371. doi:10.1007/s11784-009-0130-9. ISSN 1661-7746.
- ^ Chen, Xi; Deng, Xiaotie (2006). Chen, Danny Z.; Lee, D. T. (eds.). "A Simplicial Approach for Discrete Fixed Point Theorems". Computing and Combinatorics. Lecture Notes in Computer Science. Berlin, Heidelberg: Springer: 3–12. doi:10.1007/11809678_3. ISBN 978-3-540-36926-4.