Linear contractions in product ordered metric spaces

DOI10.1007/s11565-012-0164-6zbMath1454.47090OpenAlexW2079326637MaRDI QIDQ467125

Mihai Turinici

Publication date: 3 November 2014

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-012-0164-6

zbMATH Keywords

continuitycompletenessnormal matrixincreasing mapproduct fixed pointquasi-orderself-closenessvector-valued metric space

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25)

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Cites Work

• Coupled fixed point results in cone metric spaces for \(\widetilde w\)-compatible mappings
• Coupled fixed point, \(F\)-invariant set and fixed point of \(N\)-order
• Tripled fixed point theorems for contractive type mappings in partially ordered metric spaces
• Coupled fixed point theorems for nonlinear contractions in cone metric spaces
• Generalized coupled fixed point theorems for mixed monotone mappings in partially ordered metric spaces
• Tripled fixed points of multivalued nonlinear contraction mappings in partially ordered metric spaces
• Coupled fixed point theorems for a generalized Meir-Keeler contraction in partially ordered metric spaces
• Coupled fixed point theorems for nonlinear contractions satisfied Mizoguchi-Takahashi's condition in quasiordered metric spaces
• A coupled coincidence point result in partially ordered metric spaces for compatible mappings
• Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces
• Fixed points for multi-valued mixed increasing operators in ordered Banach spaces with applications to integral inclusions
• Fixed point theorems for generalized contractions in ordered metric spaces
• Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
• Fixed point theorems in partially ordered metric spaces and applications
• Coupled fixed points of nonlinear operators with applications
• A Fixed Point Theorem for a System of Multivalued Transformations
• A fixed point theorem in partially ordered sets and some applications to matrix equations
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