Some Fixed Point Theorems in Generalized Metric Spaces Endowed with Vector-valued Metrics and Application in Linear and Nonlinear Matrix Equations

DOI10.22130/scma.2018.86797.440zbMath1474.54165OpenAlexW2995991705MaRDI QIDQ4985721

Hasan Hosseinzadeh

Publication date: 24 April 2021

Full work available at URL: https://scma.maragheh.ac.ir/article_37410_f2d64a18e13a8179dcb9e3507cf25af1.pdf

zbMATH Keywords

fixed pointscoupled fixed pointcoupled coincidence fixed pointgeneralized metric

Mathematics Subject Classification ID

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) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Special maps on metric spaces (54E40)

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Cites Work

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• The role of matrices that are convergent to zero in the study of semilinear operator systems
• Fixed-point theorems and common fixed-point theorems on spaces equipped with vector-valued metrics
• Fixed point theorems in partially ordered metric spaces and applications
• A fixed point theorem in partially ordered sets and some applications to matrix equations
• Another fixed point theorem for nonexpansive potential operators
• Numerical Linear Algebra