Some fixed point theorems for contractive mapping in ordered vector metric spaces

DOI10.22436/JNSA.010.04.12zbMath1412.47103OpenAlexW2604796253MaRDI QIDQ4631025

Hakan Sahin, Cüneyt Çevik, Ishak Altun, Çetin Cemal Özeken

Publication date: 24 April 2019

Published in: The Journal of Nonlinear Sciences and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22436/jnsa.010.04.12

zbMATH Keywords

fixed pointRiesz spacevector metric space

Mathematics Subject Classification ID

Linearly ordered topological spaces, generalized ordered spaces, and partially ordered spaces (54F05) Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Best proximity point theory on vector metric spaces ⋮ Best proximity point theorems for proximal b-cyclic contractions on b-metric spaces ⋮ On some fixed point theorems for ordered vectorial Ćirić-Prešić type contractions ⋮ On vector valued pseudo metrics and applications

Cites Work

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• Vector metric spaces and some properties
• On continuity of functions between vector metric spaces
• Fixed points for weak \(\alpha\)-\(\psi\)-contractions in partial 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
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Fixed point results for α-implicit contractions with application to integral equations

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