Sperner's lemma and zero point theorems on a discrete simplex and a discrete simplotope

DOI10.1016/j.dam.2011.11.018zbMath1401.52026OpenAlexW2159809789WikidataQ124906580 ScholiaQ124906580MaRDI QIDQ412368

Kazuo Murota, Akihisa Tamura, Takuya Iimura

Publication date: 4 May 2012

Published in: Discrete Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.dam.2011.11.018

zbMATH Keywords

fixed pointSperner's lemmazero pointdiscrete set

Mathematics Subject Classification ID

Noncooperative games (91A10) General equilibrium theory (91B50) Polyhedral manifolds (52B70)

Cites Work

• Simplicial algorithms on the simplotope
• Discrete fixed point analysis and its applications
• Discrete fixed point theorem reconsidered
• A Simplicial Approach for Discrete Fixed Point Theorems
• Combinatorial Theorems on the Simplotope that Generalize Results on the Simplex and Cube
• On the Computation of Fixed Points in the Product Space of Unit Simplices and an Application to Noncooperative N Person Games
• A Vector Labeling Method for Solving Discrete Zero Point and Complementarity Problems

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