Email this article Fixed points of mappings on ordered sets
- Authors: Podoprikhin D.A.1
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Affiliations:
- Moscow State University
- Issue: Vol 38, No 6 (2017)
- Pages: 1069-1074
- Section: Article
- URL: https://journals.rcsi.science/1995-0802/article/view/200566
- DOI: https://doi.org/10.1134/S1995080217060105
- ID: 200566
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Abstract
In this paper sufficient conditions are presented for the least element existence in the common fixed point set of a family of multivalued mappings on ordered sets. The problem of the iterative search for common fixed point of a family of multivalued mappings on ordered sets is considered as well. In addition, we suggest conditions to guarantee invariance of the fixed point property of mappings under an order-homotopy.
About the authors
D. A. Podoprikhin
Moscow State University
Author for correspondence.
Email: podoprikhindmitry@gmail.com
Russian Federation, Moscow, 119992
