On Fixed Point Theory and Its Applications to Equilibrium Models

DOI10.14529/mmp160102zbMath1345.54071arXiv1410.6596OpenAlexW2225846887MaRDI QIDQ2806797

Dmitriy Serkov

Publication date: 19 May 2016

Published in: Bulletin of the South Ural State University. Series "Mathematical Modelling, Programming and Computer Software" (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1410.6596

zbMATH Keywords

fixed pointNash equilibriumsaddle pointmultivalued mapping

Mathematics Subject Classification ID

Set-valued maps in general topology (54C60) Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Fixed-point and coincidence theorems (topological aspects) (54H25) General equilibrium theory (91B50) Compact (locally compact) metric spaces (54E45)

Related Items (3)

On singularity structure of minimax solution to Dirichlet problem for eikonal type equation with discontinuous curvature of boundary of boundary set ⋮ On the construction of a predicate truth set ⋮ Unlocking of predicate: application to constructing a non-anticipating selection

Cites Work

• Potential \(\text Ш\) for abelian varieties
• Covering mappings in metric spaces and fixed points
• Recent results in analytical fixed point theory
• The lambda calculus, its syntax and semantics
• Several extensions of the Abian-Brown fixed point theorem and their applications to extended and generalized Nash equilibria on chain-complete posets
• Multi-valued contraction mappings
• A lattice-theoretical fixpoint theorem and its applications
• Minimax Theorems

This page was built for publication: On Fixed Point Theory and Its Applications to Equilibrium Models