Abstract
We discuss combinatorial results allowing to prove a new, more general version of the Poincaré–Miranda fixed point theorem. The main tool is the Steinhaus’ chain property.
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Michalik, D., Tkacz, P. & Turzański, M. Cube-like complexes, Steinhaus’ chains and the Poincaré–Miranda theorem. J. Fixed Point Theory Appl. 18, 117–131 (2016). https://doi.org/10.1007/s11784-015-0268-6
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DOI: https://doi.org/10.1007/s11784-015-0268-6