Coincidence point of isotone mappings in partially ordered metric spaces

DOI10.1007/S12215-016-0232-3zbMath1453.54014OpenAlexW2278269240WikidataQ60499768 ScholiaQ60499768MaRDI QIDQ330577

Amit Kumar Laha, Mantu Saha, Ismat Beg

Publication date: 26 October 2016

Published in: Rendiconti del Circolo Matemàtico di Palermo. Serie II (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12215-016-0232-3

zbMATH Keywords

fixed pointcoincidence pointpartially ordered metric space\(G\)-isotone mapping\(T\)-isotone mapping

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Unnamed Item
• Multidimensional fixed point theorems for isotone mappings in partially ordered metric spaces
• Coupled point results in partially ordered metric spaces without compatibility
• Fixed point for set-valued mappings satisfying an implicit relation in partially ordered metric spaces
• Coincidence point theorems for \(G\)-isotone mappings in partially ordered metric spaces
• Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Fixed point theorems in ordered abstract spaces
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Generalized contractions in partially ordered metric spaces
• Fixed point theorems in ordered 𝐿-spaces

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