Local and Global L<scp>IPSCHITZ</scp>ian Mappings on Ordered Metric Spaces

DOI10.1002/mana.19811010110zbMath0481.54008OpenAlexW1972063289MaRDI QIDQ3938864

Mihai Turinici

Publication date: 1981

Published in: Mathematische Nachrichten (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mana.19811010110

zbMATH Keywords

convex metric spacemaximality principleorder-directionally closed mappingorder-locally (globally) Lipschitzian mapping

Mathematics Subject Classification ID

Special maps on topological spaces (open, closed, perfect, etc.) (54C10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05)

Related Items (3)

Mean value theorems via maximal element techniques ⋮ Drop theorems and lipschitzianness tests via maximality procedures ⋮ Differential Lipschitzianness tests on abstract quasi-metric spaces

Cites Work

• A generalization of Caristi's theorem with applications to nonlinear mapping theory
• On a lemma of Bishop and Phelps

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