The Knaster–Tarski theorem versus monotone nonexpansive mappings

DOI10.4064/ba8120-1-2018zbMath1452.54016arXiv1705.07601OpenAlexW2963936098MaRDI QIDQ4634608

Andrzej Wiśnicki, Rafael Espínola

Publication date: 10 April 2018

Published in: Bulletin of the Polish Academy of Sciences Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1705.07601

zbMATH Keywords

fixed pointnonexpansive mappingBanach spacepartially ordered setmonotone mappingdirected setUrysohn-type equation

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Geometry and structure of normed linear spaces (46B20) Topological lattices (06B30)

Related Items (5)

Remarks on asymptotic regularity and fixed points ⋮ Fixed point theorems in partially ordered topological spaces with applications ⋮ Common fixed-point theorems in modular function spaces endowed with reflexive digraph ⋮ Existence and Approximations for Order-Preserving Nonexpansive Semigroups over $$\mathrm{CAT}(\kappa )$$ Spaces ⋮ Iterative methods for monotone nonexpansive mappings in uniformly convex spaces

Cites Work

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• Browder and Göhde fixed point theorem for monotone nonexpansive mappings
• Fixed points of monotone mappings and application to integral equations
• Support cones in Banach spaces and their applications
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed Point Theory in Ordered Sets and Applications
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• A fixed point theorem for monotone asymptotically nonexpansive mappings
• The contraction principle for mappings on a metric space with a graph
• Common fixed points for isotone mappings

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