Fixed point theorems in ordered 𝐿-spaces
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Publication:5705550
DOI10.1090/S0002-9939-05-07982-7zbMath1086.47026OpenAlexW2010168204MaRDI QIDQ5705550
Publication date: 9 November 2005
Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07982-7
Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Matrix equations and identities (15A24) Special maps on metric spaces (54E40) Probabilistic metric spaces (54E70)
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Cites Work
- \(K\)-metric and \(K\)-normed linear spaces: Survey
- A generalization of the Banach contraction principle
- Generalized contraction mapping principles in probabilistic metric spaces
- A fixed point theorem in partially ordered sets and some applications to matrix equations
- Integral equations, implicit functions, and fixed points
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- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
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