A fixed point theorem for mappings on the l∞-sum of a metric space and its application

DOI10.2298/FIL1711559JzbMath1499.54176arXiv1707.05618MaRDI QIDQ5020119

Łukasz Maślanka, Filip Strobin, Jacek R. Jachymski

Publication date: 4 January 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.05618

zbMATH Keywords

generalized fixed points\(\ell_\infty\)-sum of a metric spacecontractive fixed pointsTychonoff product topology

Mathematics Subject Classification ID

Metric spaces, metrizability (54E35) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40) Product spaces in general topology (54B10)

Related Items (2)

A fixed point result for mappings on the \(\ell_\infty\)-sum of a closed and convex set based on the degree of nondensifiability ⋮ On generalized iterated function systems defined on \(\ell_{\infty}\)-sum of a metric space

Cites Work

• Applications of fixed point theorems in the theory of generalized IFS
• Generalized iterated function systems on the space \(l^\infty(X)\)
• Contractive fixed points
• ON A CERTAIN GENERALISATION OF THE ITERATED FUNCTION SYSTEM
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