Equivalents of maximum principles for several spaces

DOI10.1515/taa-2022-0113OpenAlexW4285175033MaRDI QIDQ2158268

Sehie Park

Publication date: 26 July 2022

Published in: Topological Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/taa-2022-0113

zbMATH Keywords

fixed pointZermelolocally convex spaceEkeland variational principlemaximal elementquasi-metric spacequasi-uniform spacepre-order

Mathematics Subject Classification ID

Numerical optimization and variational techniques (65K10) Complete metric spaces (54E50) Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Variational principles in infinite-dimensional spaces (58E30) Generalizations of ordered sets (06A75)

Related Items (1)

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Cites Work

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• A general principle on ordered sets in nonlinear functional analysis
• Caristi's fixed point theorem and selections of set-valued contractions
• A remark on Ekeland's principle in locally convex topological vector spaces.
• On the variational principle
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• On a lemma of Bishop and Phelps
• Eine direkte Ableitung des Zornschen Lemmas aus dem Auswahlaxiom
• Shorter Notes: Fixed Points and Partial Orders
• A fixed point theorem equivalent to the axiom of choice
• Maximality, fixed points and variational principles for mappings on quasi-uniform spaces

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