Application of Canonical Duality Theory to Fixed Point Problem

DOI10.1007/978-3-319-08377-3_17zbMath1320.91014OpenAlexW97558MaRDI QIDQ2942469

David Yang Gao, Ning Ruan

Publication date: 11 September 2015

Published in: Springer Proceedings in Mathematics & Statistics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-319-08377-3_17

zbMATH Keywords

fixed point problemcanonical duality theorydouble well function

Mathematics Subject Classification ID

Noncooperative games (91A10) Fixed-point theorems (47H10) Duality theory (optimization) (49N15)

Cites Work

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• A two-dimensional bisection envelope algorithm for fixed points
• Exponential lower bounds for finding Brouwer fixed points
• Solutions and optimality criteria for nonconvex constrained global optimization problems with connections between canonical and Lagrangian duality
• A recursive algorithm for the infinity-norm fixed point problem
• Duality principles in nonconvex systems. Theory, methods and applications
• Approximating fixed points of weakly contracting mappings
• Homotopies for computation of fixed points
• The Approximation of Fixed Points of a Continuous Mapping

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