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Extended antipodal theorems

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Publication:725874
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DOI10.1007/s10957-018-1283-8zbMath1433.47002OpenAlexW2799402589WikidataQ129979358 ScholiaQ129979358MaRDI QIDQ725874

Adolphus J. J. Talman, Lilia Alanís-López, Nataliya I. Kalashnykova, Vyacheslav V. Kalashnikov

Publication date: 2 August 2018

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-018-1283-8

zbMATH Keywords

set-valued mappingsantipodal theoremsstar-shaped subsetstriangulation techniques


Mathematics Subject Classification ID

Set-valued and variational analysis (49J53) Complementarity and equilibrium problems and variational inequalities (finite dimensions) (aspects of mathematical programming) (90C33) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed-point theorems on manifolds (58C30)


Related Items

Starshaped sets



Cites Work

  • Foundations of bilevel programming
  • Complementarity, equilibrium, efficiency and economics
  • On the existence and approximation of zeroes
  • A class of simplicial restart fixed point algorithms without an extra dimension
  • Improving the convergence of fixed-point algorithms
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