Brouwer fixed point theorem in \((L^0)^d\)

DOI10.1186/1687-1812-2013-301zbMath1469.54090arXiv1305.2890OpenAlexW2096061899WikidataQ59302723 ScholiaQ59302723MaRDI QIDQ401818

Samuel Drapeau, Martin Karliczek, Michael Kupper, Martin Streckfuß

Publication date: 27 August 2014

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1305.2890

zbMATH Keywords

conditional simplexfixed points in \((L^0)^d\)

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Random operators and equations (aspects of stochastic analysis) (60H25) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

Related Items (5)

Measures and integrals in conditional set theory ⋮ Unnamed Item ⋮ The algebra of conditional sets and the concepts of conditional topology and compactness ⋮ Two fixed point theorems in complete random normed modules and their applications to backward stochastic equations ⋮ L⁰-convex compactness and its applications to random convex optimization and random variational inequalities

Cites Work

• Unnamed Item
• Relations between some basic results derived from two kinds of topologies for a random locally convex module
• Separation and duality in locally \(L^0\)-convex modules
• Fixed point theorems for random lower semi-continuous mappings
• Equilibrium Pricing in Incomplete Markets Under Translation Invariant Preferences
• Fixed point theorems in probabilistic analysis
• Random fixed points of set-valued maps
• The algebra of conditional sets and the concepts of conditional topology and compactness

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